determine the slope, x-intercept, and y-intercept of the following equations

x - y = 0

y = 3x - 5

determine the slope, x-intercept, and y-intercept of the following equations

x - y = 0

y = 3x - 5

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Robert C. | Dr. Robert can help you with Math and ScienceDr. Robert can help you with Math and Sc...

The best way to see the slope is to put each equation in the slope/y-intercept form. To do this, solve for y. One of these equations is already in the slope y-intercept form but the other is not. The slope/y-intercept form looks like this:

y=mx+b

M is the slope and b is the y-intercept.

For y=3x-5,

The slope is the coefficient of x, 3. The y-intercept is the value of y when x is 0. In this equation, it is -5. That is because when you plug in 0 for x, you get y=0x-5, or just y=-5.

The x-intercept is the value of x when y is 0. Plug in 0 for y:

0=3x-5

5=3x

5/3=x, the x-intercept.

Now let's consider the other equation,x-y=0.

Solve for y and you get y=x.

The coefficient of x is implied to be 1, which is the slope. There is nothing being added or subtracted from the x term, so the y-intercept is 0. Verify this by plugging in 0 for x. The y value is then x. By the same process, the x-intercept is also 0.

I hope this helps. Good luck.

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