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Question 77587: Find the standard form of the equation of the line with slope 1 and y-intercept 2
Answer by bucky(2189)   (Show Source):
You can put this solution on YOUR website! As a start you can use the slope intercept form of an equation. The slope intercept
is:
.
y = mx + b
.
where m is the slope and b is the y intercept. The problem tells you that the slope (m)
is 1 and the y-intercept (b) is 2. Substitute these values to get:
.
y = 1x + 2
.
and you need not show the 1 that multiplies x because the 1 is understood. This means the
equation is:
.
y = x + 2
.
But this is not in standard form. The standard form of a linear equation is:
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Ax + By = C
.
Where A, B, and C are constants.
.
To get y = x + 2 into this form, all we need to do is subtract x from both sides so that
we eliminate the +x from the right side. When we do the subtraction the equation
becomes:
.
-x + y = 2
.
and if you compare this with the standard form Ax + By = C you will see that it matches
and that A = -1, B = +1 and C = 2
.
Hope this helps you to understand a way that you can use the slope intercept form of
an equation and that if you have the slope intercept form, you can rearrange things into
the standard form of an equation.
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