SOLUTION: Write the equation of the line with slope �4 and y-intercept (0, 3).

Question 84744: Write the equation of the line with slope �4 and y-intercept (0, 3).
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given: slope = -4 and y-axis intercept is (0, 3).
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Problem: Write the equation.
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The form you are looking for is called the slope-intercept form of an equation. It is written as:
.

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and in this equation "m" [which is the multiplier of "x"] is the slope and "b", a constant,
is the value of y when x is zero. It is called the y-intercept because it is the value of y
where the graph of the equation crosses the y-axis.
.
Start with the slope intercept form:
.

.
Since m is the slope and the problem tells you that the slope is -4, you can just substitute
-4 for m and the equation becomes:
.

.
The problem also tells you that b, the value of y when x = 0, is +3. Substitute this into the
equation and you get:
.

.
That's the equation you were asked to find. Hope this explanation helps you to understand
the slope-intercept form of the equation of a straight line and what the numbers in that
form refer to.
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