SOLUTION: What would the equation be if the slope is 5 and the y intercept is (0,-2)?

Question 76186: What would the equation be if the slope is 5 and the y intercept is (0,-2)?
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
The slope-intercept form of an equation is:
.
y = mx + b
.
where m is the slope and b is the y-intercept (the value of y where the graph crosses
the y-axis).
.
The problem tells you that the slope is 5. Substitute this for m in the slope-intercept
form to get:
.
y = 5x + b
.
You are also told that the y intercept is (0, -2). This means when x is 0 the value of
y is -2. But, when you think of x being zero, that means the corresponding value of y
must be on the y-axis because that is the line where x is always zero. So the value of
y on the y-axis is -2. Substitute this for +b in the equation and the result is:
.
y = 5x - 2
.
This is what the equation would be for a slope of 5 and a y-intercept of (0, -2).
.
Hope this helps you to understand how to write an equation if you are given the slope
and the y-intercept of the graph.
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