Question

Please help!

Answer 1

Answer:

y = x + 5          

Step-by-step explanation:

1) First, find the slope of the line $x-y = 4$. We can do this by setting it up in slope-intercept form, represented by the equation $y = mx + b$. Whatever $m$ or the coefficient of the x-term is will be the slope. Isolate y in the equation:

$x-y = 4\\-y = -x+4\\y = x -4$

So, the slope of the given equation is 1. Parallel lines share the same slope, thus the slope of the new line will be 1 as well.

2) Now, use the point-slope formula $y-y_1 = m (x-x_1)$ to write the equation of the line in point-slope form. Substitute values for $m$, $x_1$, and $y_1$ in the formula.

Since $m$ is the slope, substitute 1 for it. Since $x_1$ and $y_1$ represent the x and y values of one point the line passes through, substitute the x and y values of (-6, -1) into those places as well. Then, isolate y in the resulting equation to put the equation in slope-intercept form and find the answer:  

$y-(-1) = 1 (x-(-6))\\y + 1 = 1 (x + 6)\\y + 1 = x + 6\\y = x + 5$