Question

Write in slope-intercept form an equation of the line that passes through the given points. (-1, -1) (1, 5)

Answer 1

Step 1: We need to find the slope (or m) FIRST using slope formula*.

`m = (5 - (-1))/(1 - (-1))\\\\m = (6)/(2) = 3`

m = 3

Step 2: Now we find the y-intercept (or b) using the slope-intercept formula**, ONE of the 2 points given, and the slope we just found.

`5 = 3(1) + b\\\\5 = 3 + b\\\\2 = b`

b = 2

Step 3: Now we put it all together we get our equation in slope-intercept form**.

`y = 3x + 2`

**Slope-intercept form:
`y = mx + b`

*Slope formula:
`m = (y_2 - y_1)/(x_2 - x_1)`