Question

Fill in the blanks to write an equation in slope-intercept form representing the function shown in the table.
y =
x +

Answer 1

slope = (-2 + 8)/(-1 + 3) = 6/2 = 3
y = mx + b
b = y - mx
b = -8 - 3(-3)
b = -8 + 9
b = 1

so equation
y = 3x + 1

Answer 2

The slope intercept equation which models the data in the table given ls y = 3x + 1

General form of a slope - intercept equation :

• y = bx + c ; b = slope ; c = intercept

Slope can be calculated thus:

Slope = (y2 - y1) /(x2 - x1)

Slope = (-2 + 8) / (-1 + 3)

Slope = 6/2 = 3

Taking any pair of points, we can calculate the intercept, c :

y = 3x + c

10 = 3(3) + c

10 = 9 + c

c = 10 - 9

c = 1

Therefore, the slope - intercept equation is y = 3x + 1

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