Question

Write an equation of the line

Answer 1

`y = x + 2`

Explanation:

Hello!

Equation of a Line:
`y = mx + b`

• y = output
• m = slope
• x = input
• b = y-intercept

Slope

Slope can be calculated using the formula:
`m = (y_2 - y_1)/(x_2-x_1)`

We can use the x and y-values of the 2 points given to us.

Find the slope

• 
  `m = (y_2 - y_1)/(x_2-x_1)`
• 
  `m = (2 - (-6))/(0 -(-8) )`
• 
  `m = (8)/(8)`
• 
  `m = 1`

So the slope is 1.

Y-intercept

The y-intercept is the intersection between the graph and the y-axis.

The intersection happens at (0,2), so the y-intercept is 2.

Equation

Plug in the values to find the equation.

Equation:
`y = x + 2`