Question

N
10
-10 - -
-5
-8-
PART A:
What is the y-intercept of the line?
What is the slope of the line?
PART B:
What is the equation of the line in slope-intercept form?
Blank 1:
I
Blank 2:
Blank 3:

Answer 1

Answer:

y-intercept: (0,6)

slope = -2

equation: y = -2x + 6  

Step-by-step explanation:

1) First, identify the y-intercept. The y-intercept is the point at which the line intersects the y-axis. We can see that the line crosses the y-axis at (0,6), so that must be it.

2) Now, find the slope. Pick two points from the line. I chose (0,6) and (3,0). Then, substitute the two points' x and y values into the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$and solve:

$m = \frac{0-6}{3-0}\\m = \frac{-6}{3}\\m = -2$

So, the slope is -2.

3) With the found information, use the slope-intercept formula $y = mx + b$ to write the line's equation. Substitute values for the $m$ and $b$.

$m$ represents the slope, so substitute -2 in its place. $b$ represents the y-intercept, so substitute 6 in its place. This gives the following equation:

$y = -2x + 6$