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X. Y

1 5

2 10
3 15
4. 20
5. 25

slope:
y-intercept:
equation:
I

User Ventus
by
7.9k points

1 Answer

7 votes

Answer:

Slope: 5

Y-intercept: 0

Equation: y=5x

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.

The equation becomes y = 5x + b.

To find b, the y-intercept, enter any 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

User Mr Rogers
by
8.2k points

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