Question

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

Answer 1

y = x -1

Explanation:

x - y = 7

We need to put this in slope intercept form to find the slope.

Add y to each side

x-y+y =7+y

x = y+7

Subtract 7 from each side

x-7 = y+7-7

x-7 = y

The slope is 1 since it is in the form y = mx+b

We have a slope 1 and an point (1,0)

We can use point slope form to make an equation

y-y1 = m(x-x1)

y-0 = 1(x-1)

y = x -1

This is in slope intercept form