The Solution.
Step 1:
We shall state the formula for a slope-intercept equation.
[tex]y=m(x-x_1)[/tex][tex]\begin{gathered} \text{Where m = slope = }\frac{8}{7} \\ x_1=-3\text{ (the value of x in the given point coordinate)} \end{gathered}[/tex]Step 2:
We shall substitute for the values of the parameters in the formula above.
[tex]\begin{gathered} y=\frac{8}{7}(x--3) \\ \\ y=\frac{8}{7}(x+3) \\ \text{Cross multiplying, we get} \\ 7y=8(x+3) \\ 7y=8x+24 \end{gathered}[/tex]Step 3:
Presentation of the Answer.
The correct answer is 7y = 8x + 24
