Question

A line passes through the points (4,
–
1) and (7,14). Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

First, let's find the slope of the line using the formula:

slope = (y2 - y1) / (x2 - x1)

Using the points (4, -1) and (7,14):

slope = (14 - (-1)) / (7 - 4)
slope = (15) / (3)
slope = 5

Now that we have the slope, we can use one of the points to find the y-intercept:

Using the point (4, -1) and the slope of 5:

y = mx + b
-1 = 5(4) + b
-1 = 20 + b
b = -21

The equation of the line in slope-intercept form is:

y = 5x - 21