Question

The slope of the line is..? A. -2 B. -1 C. 1 D. 2

Answer 1

Answer:

B, -1

Step-by-step explanation:

on a graph with 2 points (or more) listed, you can count the points from each coordinate to determine slope (which is rise/run also known as y/x)

going from left to right, we start at (1,4) and count down from (1,4) to (3,2), we go down 2 units

going from left toright again, we start from (1,2) (our point we counted down to from (1,4) and count to the left 2 units

we are now at (3,2)

it took us 2 points down (negative) and 2 to the right (positive) to get from (1,4) to (3,2)

using rise/run we have the following:

-2/2 < we can simplify this further by dividing -2 by 2 and getting 1

the answer is B, -1

ANOTHER WAY

another way we can calculate the slope is by the following formula

y2 - y1/ x2- x1

(1,4) is our x1 and y1, while (3,2) is our x2, y2. we plug this into the formula and we get:

y2 - y1 = 2 - 4 = -2

x2 - x1 = 3 - 1 = 2

-2 / 2 = -1

we still have the same answer, and this formula is useful when you dont have a graph to count down from

Answer 2

Answer:

B. - 1

Explanation:

y2 - y1 / x2 - x1

2 - 4 / 3 - 1 = -2 / 2 = -1