Question

Which graph represents a line with a slope of and a y-intercept equal to that of the line y = x – 2? A coordinate plane with a line starting at (negative 2, negative 4), passing through (0, negative 2) and (2, 1). A coordinate plane with a line passing through (negative 3, 0) and (0, 2). A coordinate plane with a line passing through (0, 2) and (2, negative 1). A coordinate plane with a line passing through (negative 3, 0) and (0, negative 2).

Answer 1

Answer:

(A)A coordinate plane with a line starting at (negative 2, negative 4), passing through (0, negative 2) and (2, 1).

Step-by-step explanation:

Given the line: y=x-2

Comparing with the slope-intercept form y=mx+b

• Slope, m=1
• y-intercept is -2.

Therefore, the point (0,-2) must be on the line.

Only Options A and D have this point.

We then determine which has a slope, m=1.

Option A

Using points (-2,-4) and (0,-2)

Slope, $m=\dfrac{-2-(-4)}{0-(-2)} =\dfrac{-2+4}{2}=1$

Option D

Using points (-3,0) and (0,-2)

Slope, $m=\dfrac{-2-0}{0-(-3)} =-\dfrac{2}{3}$

Therefore, Option A satisfy the requirements.

Answer 2

Answer:

D

Step-by-step explanation:

The line would be negative and 2/3 is less than one so it decreases ver slowly. It is the bottom option below the 3, or D