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

y=-2x6
y=-2x-3
y=1/2x-6
y=-1/2x-3

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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step-by-step explanation: