Question

10. Write the slope-intercept form of the equation of the line through the given points. Write answer as y=mx+b. 1 po through: (0, 2) and (-5, -5) Your answer

Answer 1

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

`\begin{gathered} m=(y2-y1)/(x2-x1) \\ m=(-5-2)/(-5-0) \\ m=(-7)/(-5) \\ m=(7)/(5) \\ \end{gathered}`

Now, what about b, the y-intercept?

`\begin{gathered} b=y-mx \\ b=2-(7)/(5)(0) \\ b=2 \end{gathered}`

The equation of the line that passes through the points

`y=(7)/(5)x+2`