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3 years ago

What is the y-intercept of the line described by the equation below? y=x-3?

2 answers:

5 0

The y-intercept is found when the x-coordinate is equal to zero, so if you plug 0 into the x-variable of the equation, you can find the intercept.

y = x - 3 Plug in 0 for x
y = 0 - 3 Subtract
y = -3 So when x = 0, then y will equal -3. This means that the y intercept of the equation will be C. (0, -3).

Elza [17]3 years ago

3 0

The y intercept is the value of y when x is equal to 0, so just set x=0 and find y!

y = 0-3
y=-3

The answer is C: (0,-3)

I hope this helped! ^-^

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3 years ago

Read 2 more answers

Suppose a second player standing at (90,40) misses the ball, turns around and runs on a path parallel to the baseballs path. Wha

hoa [83]

Answer:

y = (1/3)x + 10.

Step-by-step explanation:

The path of the baseball is shown in the image below. We can see that the baseball passes through the point (0, 0) and (60, 20). The equation of the baseball path is gotten using the formula:

$y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{20-0}{60-0} (x-0)\\\\y=\frac{1}{3}x$

The equation of a straight line is given as y = mx + b, where m is the slope, b is the y intercept

The slope of the baseball path is 1/3

The second player is at (90, 40) and runs parallel to the baseball path.

If two lines are parallel then they have the same slope.

Since the player moves parallel to the baseball path, the slope would also be 1/3. The equation of the players path is gotten using:

$y-y_1=m(x-x_1)\\\\y-40=\frac{1}{3}(x-90)\\\\y= \frac{1}{3}x - 30+40\\\\y=\frac{1}{3}x+10$

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3 years ago