Question

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

Answer 1

Given that the line passes through the point (-4,-1) and has a slope of $\frac{5}{4}$

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 $\frac{5}{4}$ in the above formula, we get;

$y+1=\frac{5}{4}(x+4)$

Multiplying the terms, we get;

$y+1=\frac{5}{4}x+5$

Subtracting both sides by 1, we have;

$y=\frac{5}{4}x+4$

Thus, the equation of the line is $y=\frac{5}{4}x+4$