Question

Rewite the following linear equation in slope intercept from. write your answer with no spaces y-5=3 (x+1)

Answer 1

To rewrite the linear equation y-5=3(x+1) in slope-intercept form, we distribute the 3, simplify, and isolate the 'y' variable. The equation in slope-intercept form is y = 3x + 8.

Step-by-step explanation:

To rewrite the given linear equation in slope-intercept form, we need to isolate the variable 'y' on one side of the equation. We start with the equation:

y - 5 = 3(x + 1)

We can distribute the 3 on the right side of the equation:

y - 5 = 3x + 3

Next, we can add 5 to both sides to isolate the 'y' term:

y - 5 + 5 = 3x + 3 + 5

This simplifies to:

y = 3x + 8

So, the equation in slope-intercept form is y = 3x + 8. The slope of this line is 3, meaning for every increase of 1 in the 'x' variable, the 'y' variable increases by 3. The y-intercept of the line is 8, which is the value of y when x is 0.