Answer:
The answer is
[tex] \huge y = \frac{1}{4} x - \frac{13}{4} [/tex]
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question we have
[tex]y + 5 = \frac{1}{4} (x + 7) \\ y + 5 = \frac{1}{4} x + \frac{7}{4} \\ y = \frac{1}{4} x + \frac{7}{4} - 5[/tex]
We have the final answer as
[tex]y = \frac{1}{4} x - \frac{13}{4} \\ [/tex]
Hope this helps you
