Question

-9x+7y=28 find the y intercept and slope for exercise please show all steps

Answer 1

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given equation of a line

$-9x+7y=28$

STEP 2: Write the slope intercept form of the equation of a line

$\begin{gathered} y=mx+c \\ where\text{ m is the slope} \\ c\text{ is the y-intercept} \end{gathered}$

STEP 3: Write the given equation in a slope intercept form

$\begin{gathered} -9x+7y=28 \\ 7y=28+9x \\ Divide\text{ through by 7} \\ \frac{7y}{7}=\frac{28}{7}+\frac{9x}{7} \\ y=4+\frac{9x}{7} \\ y=\frac{9}{7}x+4 \end{gathered}$

The slope intercept form compared with the given form in step 2 will mean that:

$\begin{gathered} y=\frac{9}{7}x+4 \\ m=\frac{9}{7} \\ c=4 \end{gathered}$

Hence, the y-intercept is 4

the slope is 9/7