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creativ13 [48]
3 years ago
12

What is an equation of the line that is parallel to y=5x−7 and passes through (1, 11) ? Enter your equation in the box.

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
6 0

ANSWER

y = 5x + 6

EXPLANATION

The equation of the given line is

y=5x-7

This line is in the slope -intercept form,

y = mx + c

where

m = 5

is the slope.

The line which is parallel to this line and passes through (1,11) also has slope

m = 5

Let the equation of this line be

y = mx + b

This implies

y = 5x + b

We substitute x=1 and y=11 to get

11 = 5(1) + b

b = 11 - 5 = 6

The required equation is

y = 5x + 6

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