A line passes through the points (
–
4,
–
4) and (1,6). Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form.
First, we need to find the slope of the line using the formula:
slope = (y2 - y1) / (x2 - x1)
Using the points (-4, -4) and (1,6):
slope = (6 - (-4)) / (1 - (-4))
slope = (6 + 4) / (1 + 4)
slope = 10 / 5
slope = 2
Now that we have the slope, we can use it along with one of the given points to find the y-intercept. Let's use point (1,6):
y = mx + b
6 = 2(1) + b
6 = 2 + b
b = 4
Now we have the slope (m = 2) and y-intercept (b = 4), we can write the equation of the line in slope-intercept form:
y = 2x + 4