Question

Misty correctly determined the equation of the linear function represented by the table of values below to be y = negative 2 x + 9 in slope-intercept form by using the ordered pairs (1, 7) and (2, 5).

x
y
1
7
2
5
3
3
4
1

What would she have gotten for the equation of the linear function if she had used the ordered pairs (2, 5) and (4, 1) instead?
y = negative 4 x + 9
y = negative 4 x + 18
y = negative 2 x + 9
y = negative 2 x + 18

Answer 1

y = -2x + 9

Slope = (1 − 5)/(4 − 2) = −4/2 = −2. Using (2,5): y − 5 = −2(x − 2) ⇒ y = −2x + 9.