A line passes through (1,5) and (-2,-1).Find the slope-intercept form of the equation of the line.Then fill in the value of the slope, m, and the value of the y-intercept, b, below
First, let's find the slope of the line using the formula:
m = (y2 - y1) / (x2 - x1)
m = (-1 - 5) / (-2 - 1)
m = (-6) / (-3)
m = 2
Now that we have the slope, let's use one of the points, (1,5), to find the y-intercept, b. We can plug in the values of the point into the point-slope form of a line:
y - y1 = m(x - x1)
5 - 5 = 2(1 - 1)
0 = 0
Since the y-intercept is 5, the equation of the line in slope-intercept form is:
y = 2x + 5
So the value of the slope, m, is 2 and the value of the y-intercept, b, is 5.