passes through (–4, –5), slope = –3/4
Mathematics · College · Tue Nov 03 2020
Answered on
Given:
Points ( -4, -5)
x1 = -4
y1 = -5
Slope(m) = -¾
The equation of the line can be written in either slope-intercept form, or point-slope form.
Point-slope form:
(y - y1) = m(x -x1)
Slope-intercept form:
y = mx + b
Solution:
Substitute first the given values of x1, y1 and m to the equation of point-slope form, before we can get to slope-intercept form.
(y - y1) = m(x -x1)
(y - (-5)) = -¾(x -(-4))
Point slope form: (y +5 ) = -¾(x +4 )
In order to change into slope-intercept form distribute -¾ inside the parenthesis.
(y +5 ) = -¾x - 3
Transpose 5 on the other side of the equation, note that when transposing a number, the sign changes.
y = -¾x - 3 - 5
Slope intercept form: y = -¾ - 8