The point-slope equation of the line that passes through the point (2,1) and has the slope 5 , is y−1=5(x−2) . The generic equation for point-slope form is
y−y1=m(x−x1)
, where m is the slope and x1 and y1 are the given point.
What is the equation of the line that has a slope of 2 and passes through the point (- 1 2 )?
1 Expert Answer
You need to make turn this information into slope intercept form:
y = mx + b
. The m is your slope, the b is your y-intercept. x and y represents the coordinates that the line passes through. Make y = 1, make m = -2, and make x = 2, and you will get: 1 = -2(2) + b.
What is the equation of the line passing through the points 2 1?
Parallel lines have the same slope, so the line passing through (2,-1) has a slope of 2. It’s equation so far is
y = 2x + b
.
Which is an equation of the line with slope 3 and passes through 2 1 )?
y -y1 =m(x-x1) m=3 x1=-2 y1=1 y-1=3(x- -2) y – 1 = 3(x+2)
since you want point slope form, do not simplify past that.
How do you find the equation of a line given the slope and passing through a given point?
The equation of a line is typically written as
y=mx+b
where m is the slope and b is the y-intercept.
What is the equation of the line that passes through the points 2 1 and 5 10?
1 Expert Answer
The equation of any line is
y = Mx + b
where M is the slope and y is the intercept.
What is the equation of the line with a slope of 6 and passes through (- 2?
2 Answers By Expert Tutors
If you recall equation
y=mx+b
where m=slope and b=y-intercept. You can easily plug in 6 for m and the point (1,2) =(x,y) so plug it into the equation where there is x and y. For example, 2=6(1)+b then solve for b which you should get -4.
What is the equation of the line that passes through the point 5 0 and has a slope of 11?
equation of line is
y = mx + b
, where m is slope and b is y-intercept.
What is the equation of the line that passes through the point (- 6 6 and has a slope of 2 3?
Explanation: The equation of a line passing through (x1,y1) having slope m is y−y1=m(x−x1) . Therefore, the equation of a line passing through (6,−3) having slope 23 is y−(−3)=23(x−6)or
3(y+3)=2(x−6)or2x−3y=21
.
How do you write an equation of a line with slope of 3?
- ∙y=mx+b.
- here m=3.
- ⇒y=3x+b←is the partial equation.
- 9=12+b⇒b=9−12=−3.
- ⇒y=3x−3←is the equation of the line.
How do I find the slope of the line?
Using two of the points on the line, you can find the slope of the line by
finding the rise and the run
. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run: Slope =riserun Slope = rise run .
What is the equation of a line with slope 3?
the equation of a line in slope-intercept form is. The answer is
y=3x−12
.
How do you write an equation of a line given 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 the equation for the line with a slope of 7 and passes through 0 1?
What is the equation for the line with a slope of 7 and passes through (0,1)? y = 7x + 1.
How do you find the slope of a line with two given 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. The coordinates of the first point represent x1 and y1. The coordinates of the second points are x2, y2.
