Write an equation for the line that passes through the points (0,-6) and (-3,0)

Mathematics

1 answer:

lisov135 [29]3 years ago

7 0

Answer:

Then the desired equation is y = -2x - 6.

Step-by-step explanation:

As we move from point (-3, 0) to point (0, -6), x increases by 3 and y decreases by 6. Thus, the slope of the line segment connecting these two points is m = rise / run = -6/3 = -2.

Now use the slope-intercept equation of a straight line to determine the y-intercept of this line:

y = mx + b becomes 0 = -2(-3) + b, so that b = -6.

Then the desired equation is y = -2x - 6.

Check: Does (0, -6) satisfy y = -2x - 6? Is -6 = -2(0) - 6 true? YES

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