Question

1. what is the equation of a line with slope of 3 and a y-intercept of -6 ?

○ y=-6x +3
○ y=3x + 6
○ y = -3 + 6
○ y = 3x - 6

1. what is the slope of the line whose equation is y = 2x + 5 *

○ 5
○ 2
○ 2/5
○ 5/2

Explanation:

Question 1

Step1: Recall slope - intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept.

Step2: Substitute values

We are given that the slope $m = 3$ and the y - intercept $b=-6$. Substituting these values into the slope - intercept form, we get $y=3x+(-6)$, which simplifies to $y = 3x-6$.

Step1: Recall slope - intercept form

The slope - intercept form of a line is $y=mx + b$, where $m$ is the slope and $b$ is the y - intercept.

Step2: Identify the slope

For the equation $y = 2x+5$, comparing it with $y = mx + b$, we can see that $m = 2$. So the slope of the line is 2.

Answer:

D. $y = 3x - 6$

Question 2