Question

A line includes the points (2, 0) and (5, 6). What is its equation in slope-intercept form?

Answer 1

Answer:

y = 3x - 6

Step-by-step explanation:

1. Slope-intercept form is y = mx +b

2. Use the given coordinates to plug into the slope equation: $\frac{y{2}-y{1}}{x{2}-x{1}}$

$\frac{6-0}{5-2}=\frac{6}{3}=2$

3. Now you have y = 3x + b

4. To find the y-intercept, plug in one of the coordinates to the equation you have so far. Using (2, 0):

0 = 3(2) + b

0 = 6 + b

-6 = b

5. Final answer: y = 3x - 6