what are the intercepts of
y=3x-3
well,
what is y when x=0?
what is x when y=0?
I got it them
(1,0) and (0,-3)
good work.
To find the intercepts of a linear equation, we need to determine the points where the line intersects the x-axis and the y-axis. These points are called the x-intercept and the y-intercept, respectively.
In the equation y = 3x - 3, the y-intercept is the point where the line intersects the y-axis. To find it, we set x = 0 in the equation:
y = 3(0) - 3
y = -3
Therefore, the y-intercept is the point (0, -3).
Similarly, the x-intercept is the point where the line intersects the x-axis. To find it, we set y = 0 in the equation:
0 = 3x - 3
3x = 3
x = 1
So, the x-intercept is the point (1, 0).
In summary, the intercepts of y = 3x - 3 are the y-intercept (0, -3) and the x-intercept (1, 0).