Answer:
Slope-intercept form:
The equation of straight line is given by:
\(y=mx+b\)
where,
m is the slope
b is the y-intercept.
As per the statement:
Rewrite the following linear equation in slope-intercept form.
Given the equation:
\(y-5=3(x+1)\)
Using distributive property, \(a \cdot(b+c) =a\cdot b+ a\cdot c\)
then;
\(y-5 = 3x+3\)
Add 5 to both sides we have;
\(y = 3x+8\)
Therefore, the following linear equation in slope-intercept form is, \(y = 3x+8\)
