SOLUTION: Use the slope-intercept form of the linear equation to write an equation of the line with given slope and y-intercept. Slope -9/8; y-intercept (0,69/8)

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Question 115428: Use the slope-intercept form of the linear equation to write an equation of the line with given slope and y-intercept.
Slope -9/8; y-intercept (0,69/8)
Answer by bucky(2189) (Show Source):
You can put this solution on YOUR website!
The slope intercept form of a linear equation is given by the relationship:
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y = mx + b
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in which m ... the multiplier of x ... is the slope of the graph and b is a constant that
is the value on the y-axis where the graph crosses the y-axis.
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You are told that the slope is -9/8. That means that m = -9/8. Substitute that value into
the slope intercept form and you have:
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y = (-9/8)x + b
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You are also told that the y-intercept is (0, 69/8). This means that the graph crosses the
y-axis at the value +69/8. [The fact that the corresponding value of x is zero just means
that +69/8 is the value on the y-axis. Any point in which x = 0 is on the y-axis.]
So now you can substitute +69/8 for b and the slope intercept form for this problem becomes:
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y = (-9/8)x + 69/8
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Hope this helps to clarify for you the meaning of the slope-intercept form of a linear equation.
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