Question

Please help I learned this a while ago and forgot how to do it

Answer 1

Answer:

The slope-intercept form is $y=\frac{1}{2}x+\frac{11}{2}$

Step-by-step explanation:

To find the slope, use

$m=\frac{y^2-y^1}{x^2-x^1}$

Replace the x and y values with the points.

$m=\frac{7-5}{3-(-1)}$

Solve.

$m=\frac{2}{4}$

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

After that, find the y-intercept form.

Put the equation in point-slope form.

$y-5=\frac{1}{2}(x+1)$

Replace x with 0.

$y-5=\frac{1}{2}(0+1)$

$y-5=\frac{1}{2}$

Add 5 to both sides.

$y=5\frac{1}{2}$

Convert to improper fraction form.

The y-intercept is $\frac{11}{2}$

Now finally, write in slope-intercept form. (y=mx+b)

m is slope, b is the y-intercept.