Answer:
[tex]y = 3x - 6[/tex]
Step-by-step 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: [tex]y = mx + b[/tex]
- 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: [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]. Remember that a coordinate is written in (x, y) format.
- [tex]\frac{-6 - 0}{0 - 2}[/tex]
- [tex]\frac{-6}{-2}[/tex]
- [tex]3[/tex]
So, we have the slope and the y - intercept. We can plug those into the equation.
- [tex]y = mx + b[/tex]
- [tex]y = 3x - 6[/tex]
The equation of the line is [tex]y = 3x - 6[/tex]
