Question

Through (-4,-1) slope= 5/4

Answer 1

Given that the line passes through the point (-4,-1) and has a slope of
`(5)/(4)`

We need to determine the equation of the line.

Equation of line:

The equation of the line can be determined using the formula,

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

Substituting the points (-4,-1) and the slope
`(5)/(4)` in the above formula, we get;

`y+1=(5)/(4)(x+4)`

Multiplying the terms, we get;

`y+1=(5)/(4)x+5`

Subtracting both sides by 1, we have;

`y=(5)/(4)x+4`

Thus, the equation of the line is
`y=(5)/(4)x+4`