Question

Find the equation for the linear function that passes through the points (−2,−5) and (4,4). State your equation with whole numbers and/or fractions, not decimals, e.g., f(x)=a/b⋅x+c/d.

Answer 1

Answer:

$y=\frac{3}{2} x-2$

Step-by-step explanation:

To find your slope using two points, use the slope formula.

$\frac{y2-y1}{x2-x1}$

Your y1 term is -5, your y2 term is 4.

Your x1 term is -2, your x2 term is 4.

$\frac{4-(-5)}{4-(-2)} \\\\\frac{9}{6} \\\\\frac{3}{2}$

Now that we have your slope, you can use the slope and one of your points in point-slope form to find your y-intercept.

$y-y1=m(x-x1)\\y-4=\frac{3}{2} (x-4)\\y-4=\frac{3}{2} x-6\\y=\frac{3}{2} x-2$