What is the y-intercept of a line that has a slope of –3 and passes through point (0, –7)?

the y-intercept is equal to -7

Step-by-step explanation:

The y-intercept can be identified if we have the general form of the equation for a line:

where is the slope, and is the y-intercept. (so we are looking for

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the information we have about the line is:

slope:

passes through the point: (0, -7), where and .

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To find the y-intercept, first we need the equation of the line.

The equation of the line can be found with the point slope equation (since we know the slope and the point this equation is useful):

we substitute all the known values:

and we clear for

Now we have an equation of the form mentioned at the beginning

comparing with the equation we obtained

the y-intercept is equal to -7

(-1,-0.5)

step-by-step explanation: