QuestionGraph $y=\frac{5}{3} x-9$

Studdy Solution

STEP 1

1. The equation $y = \frac{5}{3}x - 9$ is in slope-intercept form $y = mx + b$ .
2. The slope $m$ is $\frac{5}{3}$ and the y-intercept $b$ is $-9$ .
3. We need to plot the y-intercept and use the slope to find another point to draw the line.

STEP 2

1. Identify and plot the y-intercept on the graph.
2. Use the slope to determine another point on the line.
3. Draw the line through the points.

STEP 3

Identify the y-intercept from the equation $y = \frac{5}{3}x - 9$ . The y-intercept is $-9$ .
Plot the point $(0, -9)$ on the graph.

STEP 4

Use the slope $\frac{5}{3}$ to find another point. The slope means that for every 3 units you move to the right (positive x-direction), you move 5 units up (positive y-direction).
Starting from the y-intercept $(0, -9)$ , move 3 units to the right to $x = 3$ , and 5 units up to $y = -4$ .
Plot the point $(3, -4)$ on the graph.

STEP 5

Draw a straight line through the points $(0, -9)$ and $(3, -4)$ .
This line represents the graph of the equation $y = \frac{5}{3}x - 9$ .

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