Question

You are given the equation Y-8 = 3/5 (X -5) as part of your homework assignment

A. Write this equation in slope-intercept form.

Answer 1

The equation Y-8 = 3/5 (X -5) is converted to slope-intercept form as y = (3/5)x + 5 by distributing the fraction across the parentheses, simplifying, and then isolating y.

Step-by-step explanation:

To write the equation Y-8 = 3/5 (X -5) in slope-intercept form, we want it in the form y = mx + b, where m is the slope and b is the y-intercept. Let's solve for y step by step:

1. Distribute the fraction 3/5 across the parentheses: Y - 8 = (3/5)X - (3/5)×5.
2. Simplify the equation: Y - 8 = (3/5)X - 3.
3. Add 8 to both sides to isolate Y: Y = (3/5)X + 5.

The equation in slope-intercept form is y = (3/5)x + 5

a

Answer 2

Answer: y=3/5x+5

Step-by-step explanation:

slope intercept form is y=mx+b so you can start transforming y-8=3/5(x-5).

1. 5(y-8)=3(x-5) - distribute the values to the parenthesis

2. 5y-40= 3x-15 - get like terms on each side

3. 5y-3x= 40-15 - combine like terms

4. 5y-3x= 25 - get y by itself by dividing 5 out

5. y-3/5x= 5 - add 3/5x back to other side

6. y=3/5x+5