Question

Write an equation of a line in slope intercept form that’s has a slope of 7/3 and crosses through the point (-3, -8)

Answer 1

In order to find the correct equation, let's use the slope-intercept form of the linear equation:

$y=mx+b$

Where m is the slope and b is the y-intercept.

If the slope is 7/3, we have m = 7/3.

Now, to find the value of b, let's use the point (-3, -8) on the equation:

$\begin{gathered} -8=\frac{7}{3}(-3)+b\\ \\ -8=-7+b\\ \\ b=-8+7\\ \\ b=-1 \end{gathered}$

Therefore the equation is y = (7/3)x - 1 and the correct option is B.