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 passing through the points (-1, -7) and (7,1) in slope-intercept form is y = x - 6.

Step-by-step explanation:

To write the equation of the line in slope-intercept form, we need to find the slope and the y-intercept. Using the formula for slope, which is m = (y2 - y1) / (x2 - x1), we can calculate the slope using the given points (–1, –7) and (7,1). The calculated slope is m = (1 - (-7)) / (7 - (-1)) = 8 / 8 = 1. Now, we can substitute the slope (m) and one of the given points into the slope-intercept form equation, which is y = mx + b. Let's use the first given point (–1, –7) to find the y-intercept (b). We have -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.

Answer 2

Step-by-step explanation:

slope passing through points (x1,y1) and (x2,y2) is y2-y1/x2-x1

(x1,y1)=(-1,-7)

(x2,y2)=(7,1)

y2-y1/x2-x1=1-(-7)/7-(-1)=8/8=1

the equation of line passing through (x1,y1) and having slope m is:

y-y1=m(x-x1)

y-(-7)=x-(-1)

y+7=x+1

x-y-6=0

The equation of line in slope intercept form is y=mx+c

therefore, y=x-6