Answer:
[tex]y = \frac23x - 8[/tex]
Step-by-step explanation:
Hello!
First, let's plot the points and draw a straight line through them (image).
Remember that a coordinate is given in the format of (x,y).
Parts of a Line
Equation format: [tex]y = mx + b[/tex]
The slope is how the graph changes in y as it does in x. Given our two points, the graph rises 2 units and runs 3. That means that the slope is [tex]\frac23[/tex].
- [tex]y = \frac23x + b[/tex]
The y-intercept is the intersection of the graph and the y-axis. The intersection takes place at y = -8, so the y-intercept is -8.
- [tex]y = \frac23x - 8[/tex]
The equation is [tex]y = \frac23x - 8[/tex].
