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1 year ago

X. Y

Mathematics

1 answer:

Dovator [93]1 year ago

4 0

Answer:

Slope: 5

Y-intercept: 0

Equation: y=5x

Step-by-step explanation:

Lets look for an equation of the format y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).

Slope is defined as the "Rise/Run" of the line. The change in y(the rise) for a change in x(the run). This can be calculated by taking any two of the given data points. I'll pick (1,5) and (5,25):

Rise = (25 - 5) = 20

Run = (5 - 1) = 4

The Rise/Run, or slope, m, is (20/4) or 5.

<u>The equation becomes y = 5x + b.</u>

To find b, the y-intercept, enter <u>any</u> of the points into the equation and solve for b:

y = 5x + b

y = 5x + b for (4,20)

20 = 5*(4) + b

b = 0

The line goes through the origin at x = 0 (0,0).

The equation is y = 5x + 0 or just y = 5x.

Slope: 5

Y-intercept: 0

Equation: y=5x

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