5. Find the x and y intercepts of each linear equation. Be sure to write your answers as ordered pairs.
y = 3x - 6
6y = -x + 2
The y intercepts is when x=0
So put in x=0 in each, and solve for y.
The x intercepts is when y=0, put in y=0 and solve for x.
I will be happy to critique your thinking.
y=-6 x=2
but for the second one what o I do?
do exactly the same thing, put y=0 and solve for x, on putting then x=0 and solving for y, you may have to divide both sides by six.
For the equation 6y = -x + 2, to find the x-intercept, we need to put y = 0 and solve for x.
To do this, substitute y = 0 in the equation:
6(0) = -x + 2
Simplifying this equation:
0 = -x + 2
Next, isolate the x-term by subtracting 2 from both sides:
-x = -2
To get x alone, multiply both sides by -1:
x = 2
So the x-intercept is (2, 0).
To find the y-intercept, we need to put x = 0 and solve for y.
To do this, substitute x = 0 in the equation:
6y = -(0) + 2
Simplifying this equation:
6y = 2
Now, divide both sides of the equation by 6:
y = 2/6
y = 1/3
So the y-intercept is (0, 1/3).
In summary, the x-intercept is (2, 0) and the y-intercept is (0, 1/3) for the equation 6y = -x + 2.