Question

Question 2: Find the equation of the line that has an x intercept of 2 and a y intercept of -6

Answer 1

`y = 3x - 6`

Explanation:

Hello!

With an x - intercept of 2, the coordinate is (2, 0). With a y - intercept of -6, the coordinate is (0, -6).

We have to find the equation of the line that goes through these points.

The equation of a line is written in slope-intercept format:
`y = mx + b`

• y = ordinate, y - value
• m = slope, rate of change
• x = abscissa, x - value
• b = y-intercept

Slope

First let's find the slope using the slope formula:
`(y_2 - y_1)/(x_2 - x_1)`. Remember that a coordinate is written in (x, y) format.

• 
  `(-6 - 0)/(0 - 2)`
• 
  `(-6)/(-2)`
• 
  `3`

So, we have the slope and the y - intercept. We can plug those into the equation.

• 
  `y = mx + b`
• 
  `y = 3x - 6`

The equation of the line is
`y = 3x - 6`