Find the equation of the line that is parallel to the given line and passes through the given point. y = −4x + 7; (9, 5)

The equation is y =.

y= 4 x  

Step-by-step explanation:

y =4x − 7

Choose a point that the parallel line will pass through.

(0 , 0 )

Use the slope-intercept form to find the slope.

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The slope-intercept form is  

y = m x+ b , where  m  is the slope and b  is the y-intercept. y = m x + b

Using the slope-intercept form, the slope is  

4 . m = 4

To find an equation that is parallel to  y = 4 x − 7 , the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.

( 0 , 0 ) m = 4

Using the point-slope form  

y − y 1 = m ( x −x 1 ) , plug in  m = 4 ,  x 1 = 0 , and  y 1 = 0 .

y − ( 0 ) = ( 4 )( x − ( 0 ) )

Solve for  y.

Subtract  0  from  y .

y = ( 4 ) ( x − ( 0 ) )

Subtract  0  from  x .

y= 4 x  

HOPE THIS HELPS!

pLEASE MARK bRAINLIEST! :)

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