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.
Sure! To graph the equation 19x - 38y = -76 using intercepts, we first need to find the x and y intercepts.
1. Y-intercept (when x is zero):
To find the y-intercept, we set x = 0 in the equation:
19(0) - 38y = -76
-38y = -76
Dividing both sides by -38, we get:
y = 2
So, the y-intercept is (0, 2).
2. X-intercept (when y is zero):
To find the x-intercept, we set y = 0 in the equation:
19x - 38(0) = -76
19x = -76
Dividing both sides by 19, we get:
x = -4
So, the x-intercept is (-4, 0).
Now, we have the two intercept points: (0, 2) and (-4, 0). To graph the equation, we plot these points on a coordinate grid, and then connect them with a straight line.
Here is how the graph would look like:
|
|
-4 | (0, 2)
________|________
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|
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I hope this helps! Let me know if you have any further questions.