What is the equation of a line with a slope of ​ ​ −4−4 ​ ​ and a point ​ (−2,5) ​
on the line? Express the equation in the form of y=mx+by=mx+b where m is the slope and b is the y-intercept.

Respuesta :

Here, we can formulate the slope-intercept equation from the point and the slope:

Slope = -4/-4 = 1
x1 = -2
y1 = 5

By point-slope form:

(y-y1)  = m (x - x1)
(y-5) = 1(x +2)

y-5 = x +2

Simplifying to slope-intercept form:

y = x + 7

Therefore, the slope-intercept form would be y = x+7

I hope my answer has come to your help. God bless and have a nice day ahead!