Question

Through(-4,4) slope =-3/4

Answer 1

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

Explanation:

We have to find the equation of the straight line which has the slope equal to
`- (3)/(4)` and passes through the point (-4,-4).

As the slope of the equation is
`- (3)/(4)`, hence by slope-intercept form the equation of the straight line will be given by

`y = - (3)/(4)x + c` .......... (1), where c is any constant which we have to evaluate from the given point on the line (-4,-4).

So, the point (-4,-4) satisfies the equation (1) and hence,

`- 4 = - ((3)/(4)) * (- 4) + c`

⇒ - 4 = 3 + c

⇒ c = - 7

Therefore, the equation of the straight line will be

`y = - (3)/(4)x - 7` (Answer)