Question

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

Answer 1

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} \\ (7y)/(7)=(28)/(7)+(9x)/(7) \\ y=4+(9x)/(7) \\ y=(9)/(7)x+4 \end{gathered}`

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

`\begin{gathered} y=(9)/(7)x+4 \\ m=(9)/(7) \\ c=4 \end{gathered}`

Hence, the y-intercept is 4

the slope is 9/7