or
A line passes through the points (
–
1,
–
8) and (1,6). Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form.
To find the slope of the line passing through the points (-1,-8) and (1,6), we use the formula:
m = (y2 - y1) / (x2 - x1)
m = (6 - (-8)) / (1 - (-1))
m = (6 + 8) / (1 + 1)
m = 14 / 2
m = 7
Now that we have the slope, we can use the point-slope formula to find the equation of the line:
y - y1 = m(x - x1)
Using the point (-1,-8):
y - (-8) = 7(x - (-1))
y + 8 = 7(x + 1)
y + 8 = 7x + 7
y = 7x - 1
Therefore, the equation of the line passing through the points (-1,-8) and (1,6) in slope-intercept form is: y = 7x - 1