Question

find the slope and y-intercept of $7x - 2y = -9$. give your answer in a fraction if required.
$m = \square$
$b = \square$

Explanation:

Step1: Rewrite in slope-intercept form

We start with the equation \(7x - 2y=-9\). We want to solve for \(y\) to get it in the form \(y = mx + b\), where \(m\) is the slope and \(b\) is the y - intercept.
First, subtract \(7x\) from both sides: \(-2y=-7x - 9\).

Step2: Solve for y

Divide every term by \(-2\) to isolate \(y\).
\(y=\frac{-7x}{-2}+\frac{-9}{-2}\)
Simplify the fractions: \(y=\frac{7}{2}x+\frac{9}{2}\)

Answer:

\(m = \frac{7}{2}\)
\(b=\frac{9}{2}\)