Question

Graph the line that passes through the points (6,-4) and (3,-6) and determine

Answer 1

Answer:

$y = \frac23x - 8$

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: $y = mx + b$

• m = slope
• b = y-intercept

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 $\frac23$.

• $y = \frac23x + b$

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.

• $y = \frac23x - 8$

The equation is $y = \frac23x - 8$.