Which graph represents the function y=2/3x-2
2 answers:
We can graph y = 2x/3 - 2 to find the line.
We know one point, which is the y-intercept. The y-intercept is (0,-2) so that is our first point. Plot that point on the chart. Now to find another point, we can just insert a number for x and solve for y. I am going to use the number 3.
y = 2x/3 - 2
y = 2(3)/3 - 2
y = 6/3 - 2
y = 2 - 2
y = 0
So when x = 3 y = 0. We have another point,which is (3,0) Plot the points (0, -2) (3, 0) and draw a line between the points and that is your graph. It will look the image I attached.
We know one point, which is the y-intercept. The y-intercept is (0,-2) so that is our first point. Plot that point on the chart. Now to find another point, we can just insert a number for x and solve for y. I am going to use the number 3.
y = 2x/3 - 2
y = 2(3)/3 - 2
y = 6/3 - 2
y = 2 - 2
y = 0
So when x = 3 y = 0. We have another point,which is (3,0) Plot the points (0, -2) (3, 0) and draw a line between the points and that is your graph. It will look the image I attached.
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Let f(x)=0.
Using the zero-factor property, equate each factor to 0 and then solve for x.
Thus, the zeros of the given function are 6 and -5.
The zeros are the x-coordinate where the graph touches the x-axis.
Thus, the x-coordinates of where the graph touches the x-axis are -5, and 6.
