Answer:
1. T, W, E, G
2. C, B, D, A
Explanation:
For question 1:
G passes through (2, 3) and (0, -1). So, the slope is
= 2.
T passes through (0, 3) and (4, 4) so the slope is (4-3)/(4-0) =
.
E has a slope of
because the equation is y = mx+b where m is the slope.
W has a slope of
since slope is increase in y divided by increase in x.
The order of these from least to greatest is
,
,
, and 2.
Therefore, the answer is T, W, E, G.
For question 2:
A passes through (0, -1) and (2, 2), so the slope is (2- -1)/(2-0) =
.
B passes through (2, 0) and (4, 1), so the slope is (1-0)/(4-2) =
.
C has a slope of
since the equation is y=mx+b where m is the slope.
D has a slope of
since the slope is increase in y divided by increase in x.
The order of these from least to greatest is
,
,
, and
.
Therefore, the answer is C, B, D, A.
I hope this helps! :)
Didn't understand something? Some important formulas/things to remember that I used:
The equation of a linear function can be written as y=mx+b. m represents the slope.
The slope is the change/increase (decrease, in some cases), in y, divided by the change/increase in x.
The formula for the slope is
, where Y2 is the y coordinate of the second point, Y1 is the y coordinate of the first point, X2 is the x coordinate of the second point, and X1 is the x coordinate of the first point.