Question

I need help finding the equation for this

Answer 1

I don't know if you have to use a specific form, but I will be using the slope-intercept form, which is:

y = mx + b

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

To find the slope, you can use the slope formula and plug in 2 points. I will use ( -2, 1 ) and ( 0, 4 )

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

$m=\frac{4-1}{0-(-2)}$

$m = \frac{4-1}{0+2}$

$m=\frac{3}{2}$

$y=\frac{3}{2}x+b$

To find "b", you can plug in a point into the equation, or you can look at the table to find the y value when x = 0. When x = 0, the y value is 4, so your y-intercept is 4

$y=\frac{3}{2}x+4$