Question

graph

-20x-45y=48

Answer 1

[AI-generated answer — Explain Bot]

The given equation is a linear equation in two variables, x and y. It can be written in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

To graph the equation -20x - 45y = 48, we need to rewrite it in slope-intercept form.

First, isolate y:
-45y = 20x + 48.

Next, divide both sides by -45 to solve for y:
y = (-20/45)x - (48/45).

The equation y = (-20/45)x - (48/45) is now in slope-intercept form. From this form, we can identify the slope and y-intercept.

The slope, m, is -20/45, which means for every 1 unit increase in x, y decreases by 20/45 units.

The y-intercept, b, is -48/45, which is the value of y when x = 0.

Now we can graph the equation on a coordinate plane:

1. Plot the y-intercept: Start at the point (0, -48/45).

2. Use the slope to find another point: Since the slope is -20/45, we can find another point by moving down 20 units and to the right 45 units from the y-intercept. Plot this point.

3. Draw a straight line through the two points: Connect the first and second point with a straight line. This line represents the graph of the equation -20x - 45y = 48.