Graph each of the following equations below using their intercepts?.
19x - 38y = -76
find the intercepts
Y intercept is when x is zero
x intercept is when y is zero.
plot those points, connect the dots.
To graph the equation 19x - 38y = -76 using the intercepts, we need to find the points where the line intersects the x-axis and the y-axis.
1. Y-intercept: To find the y-intercept, we set x = 0 in the equation and solve for y.
19(0) - 38y = -76
-38y = -76
Divide both sides by -38:
y = 2
So the y-intercept is the point (0, 2).
2. X-intercept: To find the x-intercept, we set y = 0 in the equation and solve for x.
19x - 38(0) = -76
19x = -76
Divide both sides by 19:
x = -4
So the x-intercept is the point (-4, 0).
Now, you can plot these points on a graph, which will create a straight line passing through both points. Connect the dots by drawing a line through them.