Question

A line passes through the points (2, 3) and (3, 7). What is its equation in slope-intercept

form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

y = 4x - 5

Step-by-step explanation:

First find the slope:

y2 - y1 / x2 - x1 --> 7-3/ 3-2 --> 4/1

so the slope is 4.

Now, use the point-slope formula to find the slope - intercept form:

y - y1 = m (x- x1)

y - 3 = 4 (x - 2)

y - 3 = 4x - 8 add three to both sides

y = 4x - 5