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