How Do You Find An Equation With The Slope And A Point?

1. Substitution method = plug in the slope and the (x, y) point values into y = mx + b, then solve for b. ...
2. Point-slope form = y − y 1 = m ( x − x 1 ) , where ( x 1 , y 1 ) is the point given and m is the slope given.

How do you find an equation after a slope?

1. Find the slope using the slope formula. ...
2. Use the slope and one of the points to solve for the y-intercept (b). ...
3. 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.

How do you find the equation of a line given a point?

Finding Points on a Line

To find points on the line y = mx + b , choose x and solve the equation for y, or. choose y and solve for x.

How do you write slope-intercept form with one point and slope?

Explanation: If a straight line passes through (x1,y1) and has a slope m , then its equation can be written as y−y1=m(x−x1) . →y=−3x+3 which is of the form y=mx+c (slope intercept form.

How do you find slope given two points?

Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1) , or the change in the y values over the change in the x values.

How do you write an equation with the given slope and y-intercept?

The equation of the line is written in the slope-intercept form, which is: y = mx + b , where m represents the slope and b represents the y-intercept.

How do you find slope with 3 points?

If the three points are collinear, take ANY two of these and use the formula (y2-y1)/(x2-x1) to find the required slope.

How do I calculate slope?

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

How do you write an equation of the line with a slope of 2 and y intercept of 9?

1. y=mx+c.
2. where. m=slope/gradient ;c=y intercept.
3. slope =2.
4. ⇒y=2x+c.
5. to find c substitute the known coordinates in.
6. 9=2×0+c.
7. 9=0+c.
8. ∴c=9.

How do you find the Y intercept with the slope and a point?

Using the “slope-intercept” form of the line’s equation ( y = mx + b ), you solve for b (which is the y-intercept you’re looking for). Substitute the known slope for m, and substitute the known point’s coordinates for x and y, respectively, in the slope-intercept equation. That will let you find b.

How do you find slope-intercept form with one point and perpendicular?

First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.

What is the equation of a line that passes through the points 1/3 and (- 2 5?

y = 2x + 1 this is slope-intercept form. 2x – y = -1 this is standard form.

What is the equation of the line with a Y intercept of 3 and a slope of 2?

Slope = 2 and y – intercept = 3 , then the equation of line is y = mx + c .

What is the point-slope form of a line that has a slope of 3 and passes through the point 1/4 )?

The equation of such a line is given by y=Ax+B where we have to determine the constants A, B. Since the slope is 3 we have that A=3 and since the line passes through the point (1,4) we must have that 4=3+B which implies that B=1. Thus, the equation of the line is y=3x+1 .

How do you find slope with 5 points?

1. Identify the coordinates (x1,y1) and (x2,y2) . ...
2. Input the values into the formula. ...
3. Subtract the values in parentheses to get 2/(-5) .
4. Simplify the fraction to get the slope of -2/5 .
5. Check your result using the slope calculator.

How do you find slope with one point?

1. Identify the point coordinates: x ₁ = 2 , y ₁ = -3 .
2. Identify the slope: m = 2.
3. Input the values into the point slope form formula: y – y ₁ = m (x – x ₁ ) y – (-3) = 2(x – 2)
4. Simplify to get the general equation: y = 2x – 4 -3. 0 = 2x – y – 7.

What is the slope of a line that passes through points (- 5’4 and 3 2?

The slope is 4 .