Question

rewrite the following equation in slope-intercept form.
10x + 4y = 9
write your answer using integers, proper fractions, and improper fractions in

Explanation:

Step1: Isolate the y-term

Subtract \(10x\) from both sides of the equation \(10x + 4y = 9\).
\(4y = -10x + 9\)

Step2: Solve for y

Divide every term by 4 to get y by itself.
\(y = \frac{-10x}{4} + \frac{9}{4}\)
Simplify the fraction \(\frac{-10}{4}\) to \(\frac{-5}{2}\).
\(y = -\frac{5}{2}x + \frac{9}{4}\)

Answer:

\(y = -\frac{5}{2}x + \frac{9}{4}\)