What is an equation of the line that is parallel to y=4x−10 and passes through (1, 13) ? enter your equation in the box.

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What is an equation of the line that is parallel to y=4x−10 and passes through (1, 13) ? enter your equation in the box.

The second step on the test was the move he was supposed to

y = 4x−10 ; slope m = 4

Parallel has same slope so slope of new line = 4

y = 4x + b

b = y - 4x

Passes through (1, 13)

b = 13 - 4(1)

b = 13 - 4

b = 9

Equation

y = 4x + 9

If a line is parallel to another line,Then the gradients are the same.So m=4 .Using general formula for str8 line, y=mx+c

[tex]y = 4x + c[/tex]

sub in coorfinates (1,13)

[tex]13 = 4 + c[/tex]

So C=9.

[tex]y = 4x + 9[/tex]

54.864 meters

step-by-step explanation: