Question

Write the equation y - 3 = -5/3(x - 1) in slope-intercept form.

A) y = -5/3x + 8
B) y = -5/3x - 2
C) y = 5/3x + 2
D) y = 5/3x - 8

Answer 1

The equation y - 3 = -5/3(x - 1) can be written in slope-intercept form as y = -5/3x + 8/3.

Step-by-step explanation:

The given equation is y - 3 = -5/3(x - 1).

To write this equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, we need to isolate y.

Let's distribute -5/3 to the terms inside the parentheses: y - 3 = -5/3 * x + 5/3

Now we can rearrange the equation to isolate y: y = -5/3 * x + 5/3 + 3

Simplifying further, we get y = -5/3 * x + 8/3

So, the equation y - 3 = -5/3(x - 1) in slope-intercept form is y = -5/3x + 8/3.