Find the x and y intercepts and graph the equation plotting the intercepts.Show work...-5x+8y=-40
x-intercept is where y=0:
-5x + 0 = -40
x=8
x-intercept is (8,0)
similarly for y-intercept, where x=0:
0+8y = -40
y=-5
y-intercept is (0,-5)
To find the x-intercept, substitute y = 0 into the equation and solve for x.
-5x + 8(0) = -40
Simplifying further, we get:
-5x = -40
Dividing both sides of the equation by -5:
x = -40 / -5
x = 8
Therefore, the x-intercept is 8.
To find the y-intercept, substitute x = 0 into the equation and solve for y.
-5(0) + 8y = -40
Simplifying further, we get:
8y = -40
Dividing both sides of the equation by 8:
y = -40 / 8
y = -5
Therefore, the y-intercept is -5.
Now, we can plot these intercepts on a coordinate plane and connect them to graph the line.
The x-intercept (8, 0) means the line crosses the x-axis at 8, and the y-intercept (0, -5) means the line crosses the y-axis at -5.
Plotting these points, we have:
|
-5| ●
|
|
|
|_____________________
-5 8
With the two intercepts plotted, we can draw a straight line passing through them.