A line has a slope of 4 and passes through the point (a, b). Which of these points must also lie on this line?

a) (a, b+4)

b) (2a, 8b)

c) (a+1, b+4)

d) (2a, 5b)

Guest Dec 22, 2014

#1**+5 **

Since slope is defined to be "the change in y divided by the change in x", and the greek letter delta (Δ) is used to represent "change in", the formula for slope becomes: m = Δy / Δx

When the slope is 4, m = 4 and this can be written as: m = 4/1.

So, Δy = 4 and Δx = 1 ---> when x changes by 1, y will change by 4.

Starting at the point (a, b), when you change the x-value by 1, the x-value becomes a + 1; and when you change the y-value by 4, the y-value becomes b + 4.

(a, b) --> with a slope of 4 --> (a + 1, b + 4)

geno3141
Dec 22, 2014

#1**+5 **

Best Answer

Since slope is defined to be "the change in y divided by the change in x", and the greek letter delta (Δ) is used to represent "change in", the formula for slope becomes: m = Δy / Δx

When the slope is 4, m = 4 and this can be written as: m = 4/1.

So, Δy = 4 and Δx = 1 ---> when x changes by 1, y will change by 4.

Starting at the point (a, b), when you change the x-value by 1, the x-value becomes a + 1; and when you change the y-value by 4, the y-value becomes b + 4.

(a, b) --> with a slope of 4 --> (a + 1, b + 4)

geno3141
Dec 22, 2014