Question

What is the equation of a line that goes through these points? x -2, -1, 0, 1, 2 and y-1, 1, 3, 5, 7

Answer 1

Slope-intercept form is:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0)

You need to find "m" and "b"

To find the slope, you use the slope formula, and plug in 2 points. I will use the points (0,3) and (1,5):

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m = \frac{5-3}{1-0}$

$m=\frac{2}{1}$

m = 2

y = 2x + b

To find "b" you can plug in a point into the equation, or you can find the point when x = 0. When x = 0, the y value is 3, so the y-intercept is 3

y = 2x + 3