Question

Please help me ASAP!!!

Answer 1

Answer (assuming it can be written in slope-intercept form):

`y = -x -7`

Explanation:

1) First, find the slope of the line x + y = 1. Isolate the y to put it in slope-intercept form:

`x + y = 1 \\y = -x + 1`

Remember that the coefficient of the x-term in equations written in slope-intercept form is the slope. Thus, the slope of x + y = 1 is -1.

Lines that are parallel have the same slope, thus -1 must be the slope of the answer, too.

2) Now that we know a point and a slope of the line, we can use point-slope formula, or
`y-y_1 = m (x-x_1)` and place in the found values, then transfer it to slope-intercept form. Replace
`m` for -1 since it represents the slope, and replace
`x_1` and
`y_1` for -7 and 0 since they represent the x and y values of a point the line intersects. Then, isolate the y to put it in slope-intercept form:

`y - (0) = -1 (x - (-7))\\y = -1(x + 7)\\y = -x -7`

Thus, the answer is
`y = -x -7`.