Question

A line passes through the points (

–
1,
–
7) and (7,1). Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

The equation of the line in slope-intercept form is y = x - 6.

Step-by-step explanation:

The slope-intercept form of the equation of a line is given by y = mx + b, where m is the slope and b is the y-intercept.

To find the slope, we can use the formula: m = (y2 - y1) / (x2 - x1). Given the points (-1, -7) and (7, 1),

we can substitute the coordinates into the formula to find the slope: m = (1 - (-7)) / (7 - (-1))

= 8 / 8

= 1.

Since we have the slope, we can choose any of the given points and substitute its coordinates into the equation to find the y-intercept. Let's use the point (-1, -7): -7 = 1(-1) + b.

Solving for b, we get b = -6.

Therefore, the equation of the line in slope-intercept form is y = x - 6.