Question

What is the y-intercept of the line that passes through the points (-3,8) and (1,6)? Convert the answer to a decimal, if necessary.

Answer 1

Answer:

6.5

Step-by-step explanation:

The midpoint of the line is (-1,7). If you draw a line between that and (1.6), you’ll pass through the y-axis at 6.5.

Answer 2

Answer:

y-intercept =6.5

Step-by-step explanation:

First , lets find the slope

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-3,\:8\right),\:\left(x_2,\:y_2\right)=\left(1,\:6\right)\\m=\frac{6-8}{1-\left(-3\right)}\\\\Refine\\m=-\frac{1}{2}$

$(-3,8) =(x_1,y_1)\\m =-\frac{1}{2}$

Plug in values point point slope form

$y-y_1=m(x-x_1)\\\\y -8=-\frac{1}{2} (x-(-3))\\\\y - 8 =-\frac{1}{2} (x+3)\\\\y -8= -\frac{1}{2} x -\frac{3}{2} \\\\y =-\frac{1}{2} x - \frac{3}{2} +8\\\\y = -\frac{1}{2}x +\frac{13}{2} \\y =\:mx\:+\:b$

Where b = y-intercept

y-intercept =$\frac{13}{2}$