Find the equation of a line that contains the points (-2,-3 and. (0,4). Express the equation in a slope-intercept form.
Mathematics · College · Tue Nov 03 2020
Answered on
Given the points:
(-2, -3) and ( 0, 4)
Express the equation in a slope-intercept form:
Solution:
In order to express the equation in slope intercept form we must first determine the slope of the given points.
Formula for slope = change in y / change in x
or delta y / delta x
represented as,
m = (y2-y1)/(x2-x1)
Substitute the given values of x and y in the equation for the slope of the points.
m = ( 4 -(-3)( 0 -(-2))
m = 7/2
Slope intercept form:
(y - y1) = m(x - x1)
(y -(-3) = 7/2(x-(-2)
y+3 = 7/2 (x+2)
y + 3 = 7/2x + 7
y = 7/2 x + 7 -3
Slope Intercept Form : y = 7/2x + 4