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

Question 2 Find The Equation Of The Line That Has An X Intercept Of 2 And A Y Intercept Of 6 class=

Sagot :

chetankachana

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]

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