Write the equation of the line, given the y- and x-intercepts: x-intercept = –6, y-intercept = –8

Question

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Answer 1

x-intercept = -6 means point is (-6,0)

 

y-intercept is -8 means point is(0,-8)

 

slope = m = y2-y1 / x2- x1 =0-(-8) /  -6-0= 8/-6 =-4/3

 

now point slop form of equation is

 

y-y1 = m(x-x1)

 

we can consider any point suppose (-6,0)

 

y-0 = (-4/3)(x-(-6))

 

y = (-4/3)(x+6)

y=-4x/3 -24/3

 

y = -4x/3 -8

 

Answer 2

Hi Mark,

 

We have points (-6, 0) and (0, -8) that the line passes through.

 

y = mx + b

b = -8 (y -intercept)

 

0 = -6m + -8

6m = -8

m = -4/3

 

The equation of the line is

y = (-4/3)x - 8