Question

What is the line into the slope-intercept from of 5y-6x=5

Answer 1

`y=(6)/(5) x+1`

Explanation:

Slope-intercept form is a common way to express a linear function.

Solving For Slope-Intercept

In the question, we are given standard form. In order to find slope-intercept, we need to solve for y. This means we need to use the properties of equality to isolate y from the other values.

First, add 6x to both sides.

• 5y = 6x + 5

Then, divide both sides by 6.

• 
  `y=(6)/(5) x+1`

This gives us the final slope-intercept form of the given equation.

Interpreting the Equation

Slope-intercept form is written in the format of y = mx + b. In this equation, m is the slope and b is the y-intercept. Our equation is
`y=(6)/(5) x+1`. So, 6/5 is the slope. This means that the rate of change of the graph is 6 units per 5 units. Additionally, the y-intercept is 1. So, the graph crosses the y-axis at y = 1.