To find the equation of a line in slope-intercept form, use the formula y = mx + b, where m is the slope and b is the y-intercept.
First, find the slope of the line using the formula:
m = (y2 - y1) / (x2 - x1)
Using the points (-2, 6) and (7, -1):
m = (-1 - 6) / (7 - (-2))
m = (-7) / (7 + 2)
m = -7 / 9
So, the slope of the line is -7/9.
To find the y-intercept, substitute one of the points into the equation and solve for b. Using the point (-2, 6):
6 = (-7/9)(-2) + b
6 = 14/9 + b
6 - 14/9 = b
54/9 - 14/9 = b
40/9 = b
So, the y-intercept is 40/9.
The equation of the line in slope-intercept form is:
y = (-7/9)x + 40/9
Therefore, the correct answer is:
y = (-7/9)x + 40/9
Write an equation in slope-intercept form for the line through points (-2,6) and (7,-1).(1 point)
Responses

y = (7/9)x + 9/40
y = (7/9)x + 9/40

y = (7/9)x + 40/9
y = (7/9)x + 40/9

y = (-7/9)x + 40/9
y = (-7/9)x + 40/9

y = (-7/9)x + 9/40
1 answer
1 answer