Put the value of the slope in the expression of the line i.e. y = mx + c. Now find the value of c using the values of any of the given points in the equation y = mx + c. To find the x-intercept, put y = 0 in y = mx + c . To find the y-intercept, put x = 0 in y = mx + c.
How do you find the y-intercept of a line passing through two points?
- Calculate the slope from 2 points. For Example, Two points are (3, 5) and (6, 11)
- Substitute the slope(m) in the slope-intercept form of the equation.
- Substitute either point into the equation. You can use either (3,5) or(6,11).
- Solve for b, which is the y-intercept of the line.
- Substitute b, into the equation.
How do you find the x and y-intercepts of a line on a graph?
- Since two points determine any line, we can graph lines using the x- and y-intercepts.
- To find the x-intercept, set y = 0 and solve for x.
- To find the y-intercept, set x = 0 and solve for y.
How do you find the X intercept when given the slope and a point?
Correct answer:
We can use the slope-intercept form (y = mx + b). The x-intercept is found by setting y = 0 , because that will give us the x-value at which the line crosses the x-axis.
What is the y-intercept of a line that passes through?
Find the Equation of a Line Given That You Know Two Points it Passes Through. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
How do you find the y-intercept in an equation?
When an equation is not in y = mx + b form, we can solve for the intercepts by plugging in 0 as needed and solving for the remaining variable. To find y-intercept: set x = 0 and solve for y. The point will be (0, y) . To find x-intercept: set y = 0 and solve for x.
How do you find the x and y intercepts of an equation?
To determine the x-intercept, we set y equal to zero and solve for x . Similarly, to determine the y-intercept, we set x equal to zero and solve for y. For example, lets find the intercepts of the equation y = 3 x − 1 displaystyle y=3x – 1 y=3x−1. To find the x-intercept, set y = 0 displaystyle y=0 y=0.
How do you find the x and y intercepts of a rational function?
Answer: To find the x-intercept of a rational function, we substitute y = 0 in the function and find the corresponding value of x , and to find the y-intercept of a rational function, we substitute x = 0 in the function and find the corresponding value of y.
How do you find slope and intercept?
Use the formula y = mx + b , where m is the slope and b is the y-intercept. How do I write the equation of a line, given the slope and y-intercept? Assuming you’re talking about a linear (straight-line) equation, you would use the standard slope/y-intercept form, y = mx + b.
What is the y-intercept of the line that passes through points 2 1 and 3 9?
What is the y-intercept of the line that passes through the points 2,-1 and -3,9? – Quora. Line L1 passes thro’ (2,-1) & (-3,9). The y-intercept of L1 is 3 ; ie the point (0,3). Substitute x = -2 and y =8 into y = ax + b to get an equation connecting a and b.
How do you find the intercepts of two lines?
- Get the two equations for the lines into slope-intercept form. ...
- Set the two equations for y equal to each other.
- Solve for x. ...
- Use this x-coordinate and substitute it into either of the original equations for the lines and solve for y.
How can you find the intercepts of a rational function?
Finding the x-intercept of a Rational Function
The x x x-intercept of a function is the x x x-coordinate of the point where the function crosses the x x x-axis .
How do you find the x intercepts of a quadratic equation?
To find the x-intercepts of a quadratic equation, let y = 0 . Write down the new equation ax squared + bx + c = 0 and the quadratic formula that gives the solution as x = -b plus or minus the square root of (b squared – 4ac), all divided by 2a.
How do you solve problems involving rational equations and rational inequalities?
To solve an equation involving rational functions, we cross multiply the numerators and denominators . Then we move all our terms to one side. Then we use our algebra skills to solve. To solve an inequality involving rational functions, we set our numerator and denominator to 0 and solve them separately.
How do you find the intercepts zeros and asymptotes of a rational function?
Process for Graphing a Rational Function. Find the intercepts, if there are any. Remember that the y -intercept is given by (0,f(0)) ( 0 , f ( 0 ) ) and we find the x -intercepts by setting the numerator equal to zero and solving . Find the vertical asymptotes by setting the denominator equal to zero and solving.
How do you find the slope and y-intercept from two points?
- Find the slope using the slope formula. ...
- Use the slope and one of the points to solve for the y-intercept (b). ...
- Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.
What is an equation of the line that passes through the points 6 5 and 3 5?
Therefor the equation of the line is y = 5 . To really prove this you can look at the slope m = Δy/Δx and the point-slope formula y – y 1 = m(x – x 1 ) to really prove it to yourself. For the slope of (6, 5) and (3,5) we calculate this by finding the difference in y-values divided by the difference in x-values.
What is the equation of the line that passes through the points − 3 2 and − 5/8 )?
The equation of the line that passes through the points (-3, 2) and (-5, 8) is 3x + y + 7 = 0 .
What is the y-intercept of the line that passes through points 1 0 and 2 2?
The y intercept of the required equation is 10 .
