Question

what is the equation of the line that passes through the point -8,1 and has a slope of
`- (3)/(4)`

Answer 1

`y-1=(3)/(4)(x+8)`

or

`y=(3)/(4)x+7`

The slope of the line is 3/4 and therefore, all we need to find is the y-intercept.

Using the point (-8, 1) gives

`1=(3)/(4)(-8)+b`
`1=-6+b`
`b=7`

Hence, the equation

`y=(3)/(4)x+7`