Question

The graph of a line goes through the points (-4,3) and (6,8). What is the equation of the line in slope-intercept form?

Enter the correct answer in the box by replacing m and b with the appropriate values.

y=mx+b

Answer 1

first find the slope
Slope~Formula\[m=\frac{y_{2} - y_{1}}{x_{2}-x_{1}}\]
in this case, \(m=\frac{8-3}{6-(-4)}=\frac{5}{10}=\frac{1}{2}\)

now let's find b with the slope and one coordinate point

m=1/2
(6,8)

8=1/2 (6)+b
8=3+b
b=5
\[y=\frac{1}{2}x + 5\]