Question

Through: (-4,5), slope=-7/4

Answer 1

`y=-(7)/(4)x-2`

Explanation:

There is enough information to create an equation in point - slope form.

`y-y_1=m(x-x_1)`

We have a slope of -7/4 and the point of (-4,5).

`y-y_1=m(x-x_1)\rightarrow \boxed{y-5=-(7)/(4)(x+4)}`

Convert to slope intercept:

`y-5=-(7)/(4)(x+4)\\\\ y-5=-(7)/(4)x-7\\\\y-5+5=-(7)/(4)x-7+5\\\\\boxed{y=-(7)/(4)x-2}`

Hope this helps.