Write an equation of the line that passes through the given points in slope-intercept form
(-1,7) and (2,-5)
To find the equation of a line in slope-intercept form (y = mx + b), we need to find the slope of the line (m) and the y-intercept (b).
The slope (m) can be found using the formula:
m = (y2 - y1) / (x2 - x1)
Using the points (-1,7) and (2,-5):
m = (-5 - 7) / (2 - (-1))
m = (-12) / (2 + 1)
m = (-12) / 3
m = -4
Now that we have the slope (m), we can use one of the points (-1,7) to find the y-intercept (b). We can substitute this point and the slope into the slope-intercept form and solve for b.
7 = -4(-1) + b
7 = 4 + b
b = 7 - 4
b = 3
The equation of the line that passes through the points (-1,7) and (2,-5) in slope-intercept form is:
y = -4x + 3