Question

Find an equation for the line below

Answer 1

Answer:

See below.

Step-by-step explanation:

(5,4) and (-3,2)

2-4=-2

-3-5=-8

-2/8 or -1/4 is the slope.

3 is the y-intercept.

y=-1/4x+3

-hope it helps

Answer 2

Answer:

$y=\frac{1}{4}x+\frac{11}{4}$

Step-by-step explanation:

Slope (m) formula: $\frac{y_2-y_1}{x_2-x_1}$

(-3, 2) and (5, 4):

$m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{4-2}{5-(-1)} \\\\m=\frac{4-2}{5+3} \\\\m=\frac{2}{8} \\\\m=\frac{1}{4}$

$y=mx+b$

$y=\frac{1}{4} x+b$

(-3, 2)

$y=\frac{1}{4} x+b\\\\2=\frac{1}{4}(-3)+b\\\\2=-\frac{3}{4}+b\\\\4(2=-\frac{3}{4}+b)\\\\8=-3+4b\\\\+3 +3\\\\11=4b\\\\/4 /4\\\\11/4=b$

$y=\frac{1}{4}x+\frac{11}{4}$

Hope this helps!