Question

2

Which function has the
same slope as the
linear function graphed
below?
A. y = 4x + 3
B. y = 7x + 3
C. y = 2 - 4x
D. y = 2 - 4x
16 115
4
13
2 110
+1 +2 +3 +4 +5 +6
2. 3
5
6

Answer 1

See Explanation

Explanation:

The question is incomplete as the required graph is not attached. The general explanation is as follows:

To calculate the slope of a line, we select two points on the line.

Assume, the points are:

`(x_1,y_1) = (-1,0)`

`(x_2,y_2) = (0,-4)`

The slope will be:

`m = (y_2 - y_1)/(x_2 - x_1)`

`m = (-4-0)/(0--1)`

`m = (-4)/(1)`

`m = -4`

For each of the options, the slope is calculated from the following representation

`y = mx + b`

Where

`m \to` slope i.e. the coefficient of c

By comparison, we have:

`A.\ m =4`

`B.\ m = 7`

`C.\ m = -4`

`D.\ m = -4`

So: (C) and (D) have the same coefficients as the assumed function