write down the equation of the line that is parallel to 4x – 2y = 7 and passes through (9, −3)

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1. [tex]\begin{gathered}{\Huge{\textsf{\textbf{\underline{\underline{\purple{Answer:}}}}}}}\end{gathered}[/tex]

   [tex]\implies[/tex]The slope intercept form of the line is y=mx+c, where m is the slope of the line and c is the constant.

   Change the equation 4x+2y=−8 in slope intercept form:

   4x+2y=−8

   ⇒2y=−4x−8

   ⇒y=−2x−4

   From the equation y=−2x−4, we get that the slope m=−2.

   Now change the equation −3y=−2x−9 in slope intercept form:

   −3y=−2x−9

   ⇒y=⅔x+3

   From the equation y=⅔x+3, we get that the y intercept is 3.

   Now for the equation of line, the slope is −2 and the y-intercept is 3 then the equation of the line is:

   y=−2x+3

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