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What is the equation of the line that is parallel to the line y -1 =4(x+3) and passes through the point (4,23)

 Nov 7, 2021
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Considering the fact that this line is parallel to the slope represented by this equation, we know that the y-intercept is different, but the slope remains the same.

We change this equation into y = ax+b form:

y = 4x + 13

and substitute the y- intercept for b

y = 4x + b

we then substitute the values of the given coordinate into the equation:

23 = 4(4)+b

then simplify

23 = 16 + b

7 = b

substitute 7 for b, and we get:

\(y = 4x + 7\)

 Nov 7, 2021

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