California Algebra 1, 2007
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23

 PAGE: 297 SET: Exercises PROBLEM: 23

The line equation in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Write the two functions as co-ordinates.

First find the slope

(Substitute )

(Product of two same signs is positive)

(Subtract: )

(Add: 2 + 1 = 3)

(Divide: )

Next find the y-intercept

Substitute the slope and the coordinates of the given point in slope-intercept form equation.

y = mx + b

15–2(–2) + b                   (Substitute 2 for m, – 2 for x, and 15 for y)

154 + b                            (Multiply: )

15 – 4 = 4 4 + b               (Subtract 4 from each side)

15 – 4 = b                            (Apply additive inverse property: 4 4= 0)

b = 11                                  (Subtract: 15 – 4 = 11)

Finally write the line equation

Substitute the values of slope ‘m’ and y-intercept ‘b’ in slope intercept form line equation.

y = mx + b

y = –2(x) + 11                    (Substitute 2 for m and 11 for b)

y = –2x + 11                      (Simplify)

The function is y = –2x + 11.

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