Use the slope and y-intercept to graph the equation. 5y+15x=0
To graph the equation 5y + 15x = 0, we need to rewrite it in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
To do this, we need to solve for y:
5y + 15x = 0
5y = -15x
y = (-15/5)x
y = -3x
Now we can see that the slope is -3 and the y-intercept is 0.
The slope, -3, tells us that for every unit increase in x, y will decrease by 3 units. The y-intercept, 0, tells us that the line crosses the y-axis at the origin (0, 0).
Using this information, we can start graphing the line. Start at the point (0, 0) and plot it on the graph. Then, using the slope, we can find another point. Since the slope is -3, we can move 1 unit to the right and 3 units down to find the next point. Connecting these two points and extending the line in both directions will give us the graph of the equation.
Here is the graph:
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The line begins at the origin (0, 0) and has a negative slope, which means it slants down from left to right.