Slope 3/2, passes through (-5, 1) Write an equation in slope-intercept form for the line that satisfies each set of conditions.

1 Answer

kspcr111's profile picture

kspcr111 | In Training Educator

Posted on

Given slope m= 3/2

and the line passes through the point (x,y)= (-5,1)

the slope-intercept form of a line is

y= mx+b

from the above we know m = 3/2, so the line equation is 

`y= (3/2)x+b` --------------(1)

we need to find the value of b , as the line passes through the point

(x,y)= (-5, 1 ) , then on substituting we get

`1 =(3/2)*(-5)+b`

=>` b = 1+15/2 = 17/2`

so the equation of the line is

`y = (3/2)x +(17/2)`