Question

Use the intercepts to graph the equation. 5x−9y=45

Use the graphing tool to graph the line. Use the intercepts when drawing the line. If only one intercept​ exists, use it and another point to draw the line.

Answer 1

The graph of the equation 5x−9y=45 is a line that passes through the points (9, 0) and (0, -5).

To graph the equation 5x - 9y = 45 using the intercepts, we need to find the x and y intercepts of the equation.

1. X-Intercept:
To find the x-intercept, we set y = 0 in the equation and solve for x.
5x - 9(0) = 45
5x = 45
Divide both sides by 5:
x = 9

So, the x-intercept is (9, 0).

2. Y-Intercept:
To find the y-intercept, we set x = 0 in the equation and solve for y.
5(0) - 9y = 45
-9y = 45
Divide both sides by -9:
y = -5

So, the y-intercept is (0, -5).

Now that we have both intercepts, we can plot them on the graph and draw a line passing through them.

The x-intercept (9, 0) means that when y is 0, x is 9. So, we plot a point at (9, 0).

The y-intercept (0, -5) means that when x is 0, y is -5. So, we plot a point at (0, -5).

Once we have plotted both points, we can draw a line passing through them to represent the equation 5x - 9y = 45.