5. Find the x and y intercepts of each linear equation. Be sure to write your answers as ordered pairs.
a. y = 3x - 6
b. 6y = -x + 2
*What do I do here.?
To find the x and y intercepts of a linear equation, you need to understand that the x-intercept represents the point where the graph crosses the x-axis, and the y-intercept represents the point where the graph crosses the y-axis.
For equation (a), y = 3x - 6:
To find the x-intercept, set y = 0 and solve for x:
0 = 3x - 6
3x = 6
x = 2
So, the x-intercept is (2, 0).
To find the y-intercept, set x = 0 and solve for y:
y = 3(0) - 6
y = -6
So, the y-intercept is (0, -6).
Therefore, the x-intercept is (2, 0) and the y-intercept is (0, -6) for equation (a).
For equation (b), 6y = -x + 2:
To find the x-intercept, set y = 0 and solve for x:
6(0) = -x + 2
0 = -x + 2
x = 2
So, the x-intercept is (2, 0).
To find the y-intercept, set x = 0 and solve for y:
6y = -(0) + 2
y = 2/6
y = 1/3
So, the y-intercept is (0, 1/3).
Therefore, the x-intercept is (2, 0) and the y-intercept is (0, 1/3) for equation (b).