Problem

Question 8, 2.3.67 Points: 0 of 1 Find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line. Parallel to the line $y=4 x$; containing the point $(-4,3)$ The equation is $\square$. (Type an equation. Simplify your answer.)

Solution

Step 1 :The given line is parallel to the line $y=4x$. This means that the slope of the line we are looking for is also 4.

Step 2 :We are also given that the line contains the point $(-4,3)$. We can substitute this point into the equation $y=mx+b$ to find the y-intercept $b$.

Step 3 :Substituting the point $(-4,3)$ into the equation $y=mx+b$ gives us $3=4*(-4)+b$.

Step 4 :Solving this equation for $b$ gives us $b=19$.

Step 5 :Therefore, the equation of the line in slope-intercept form is $y=4x+19$.

Step 6 :\(\boxed{y=4x+19}\) is the final answer.

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Source: https://solvelyapp.com/problems/MDNlcZtlCo/

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