what is the equation in point-slope form of the line passing through (2,5) and (-1,8) y-5=-1(x-2) y-8=1(x-2) y+8=-1(x-1) y+5=1(x+2)
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given the points:
( 2, 5)
(-1, -8)
x1 = 2
x2 = 1
y1 = 5
y2 =8
Determine the equation of the line in point-slope form.
Point slope form:
y - y1 = m(x - x1)
Slope of the line formula:
m = change in y/ change in x
m = y2 - y1 / x2 - x
Solution:
In order to find the equation of the line in point-slope form, we must first find the slope of the line. To do so ubstitute the given values of x1, x2, y1 and y2 to the formula for the slope of the line.
m = (8 -5) / (2- 1)
m = 3/1
m = 3
Now we need to substitute the values to the equation of point-slope form.
y - y1 = m(x - x1)
y - 5 = 3( x- 2)
y - 5 = 3x - 6
Final answer:
Point-slope form: y - 5 = 3x - 6