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The procedure to rewrite the standard form in slope intercept form is as shown below.
The standard form of the equation of a line is;
ax + by + c = 0
Slope intercept form is;
y = mx + c
Intercept form is;
x/p + y/q = 1
To Convert ax + by + c = 0 into y = mx + c
1) Move ax and c to the right hand side to get;
by = -ax - c
Divide both sides by b to get;
y = - ax/b - c/b
Comparing to slope intercept form, we can say that;
Slope = -a/b
y-intercept = -c/b
If we are using y = mx + b as slope intercept form, this will also be accurate because we will just switch c with b in the standard form to arrive at same answer.
Read more about Slope Intercept Form at; https://brainly.com/question/1884491
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