-2x+5y=-15

Find the x- and y-intercepts and graph the equation plotting the intercepts. Please show all of your work.

x intercept: when y is zero

y ntercept: when x is zero

-2x + 5x = -15.

Let y = 0:
-2x + 5*0 = -15,
-2x = -15,
x = 7 1/2 = x-int.

Let x = 0:
-2*0 + 5y = -15,
5y = -15,
y = -3 = y-int.

Solution Sets: (7 1/2,0),(0,-3).

Use the above points to graph the Eq.

Glad i could help!

To find the x-intercept, y-intercept, and graph the equation -2x + 5y = -15, we need to first understand what each intercept means.

The x-intercept is the point at which the line crosses the x-axis, meaning the value of y is 0. To find the x-intercept, let's set y = 0 in the equation -2x + 5y = -15:

-2x + 5(0) = -15
-2x = -15
Divide both sides by -2 to solve for x:
x = (-15)/(-2)
x = 7.5

Therefore, the x-intercept is (7.5, 0).

The y-intercept is the point at which the line crosses the y-axis, meaning the value of x is 0. To find the y-intercept, let's set x = 0 in the equation -2x + 5y = -15:

-2(0) + 5y = -15
5y = -15
Divide both sides by 5 to solve for y:
y = (-15)/5
y = -3

Therefore, the y-intercept is (0, -3).

Now, let's graph the line by plotting the x-intercept (7.5, 0) and the y-intercept (0, -3) on a coordinate system:

- Plot the x-intercept (7.5, 0) by finding the point where the line intersects the x-axis at x = 7.5.
- Plot the y-intercept (0, -3) by finding the point where the line intersects the y-axis at y = -3.

Once you have plotted both intercepts, draw a straight line passing through these points. This line represents the graph of the equation -2x + 5y = -15.

I hope this helps! Let me know if you have any further questions.

thank you