find the x and y intercepts and graph the equation plotting the intercepts 6x-7y=-42
you plug in zero for x and get 6(0)-7y=-42
and then you get-7y=-42 which is y=6. and then you plug in zero for y and get 6x-7(0)=-42
and then you get 6x=-42 which is x=-7. so your points are (-7,6) and then graph them.
Oh and then you put your equation in slope intercept form y=mx+b. and get -7y=-6x-42 and divide by 7. so your line will be y=6/7x +6.
To find the x-intercept, we set y equal to zero and solve for x.
Plugging in y = 0 into the equation 6x - 7y = -42:
6x - 7(0) = -42
6x = -42
Dividing both sides by 6:
x = -42/6
x = -7
So the x-intercept is -7.
To find the y-intercept, we set x equal to zero and solve for y.
Plugging in x = 0 into the equation 6x - 7y = -42:
6(0) - 7y = -42
-7y = -42
Dividing both sides by -7:
y = (-42)/(-7)
y = 6
So the y-intercept is 6.
To graph the equation, we will use the intercepts (-7, 0) and (0, 6) and plot them on the graph:
|
7 | x (0,6)
6 | *
5 |
4 |
3 |
2 |
1 |
0 | * ( -7,0)
---------------
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Joining the two intercepts with a straight line will give the graph of the equation 6x - 7y = -42.
To find the x-intercept, we set y = 0 and solve for x.
Substituting y = 0 into the equation 6x - 7y = -42, we have:
6x - 7(0) = -42
6x = -42
Dividing both sides by 6, we get:
x = -7
Therefore, the x-intercept is at the point (-7, 0).
To find the y-intercept, we set x = 0 and solve for y.
Substituting x = 0 into the equation 6x - 7y = -42, we have:
6(0) - 7y = -42
-7y = -42
Dividing both sides by -7 and simplifying, we get:
y = 6
Therefore, the y-intercept is at the point (0, 6).
To graph the equation, plot the x-intercept (-7, 0) and the y-intercept (0, 6) on a coordinate plane. Then, draw a straight line passing through these two points.
The graph should look like this:
y
|
6 |
|
|
|______________
x
I hope this helps! Let me know if you have any more questions.