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Contact [7]
2 years ago
13

N

Mathematics
1 answer:
xxTIMURxx [149]2 years ago
7 0

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

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