Question

Write the slope-intercept form of the line that passes through the point (1, 0) and is parallel to x-y=7.

Answer 1

We can rewrite the equation of the given line to be in slope-intercept form as follows.

$x-y=7\\x=y+7\\y=x-7$

Thus, the slope of the given line is 1.

Since parallel lines have equivalent slopes, the slope of the line we want to find is also 1.

Substituting into point-slope form,

$y-0=1(x-1)\\\\\boxed{y=x-1}$