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What is the slope and y-intercept of

- a line that goes through the points
(4, - 3) and (6, 7)?
-

What is the slope and y-intercept of - a line that goes through the points (4, - 3) and-example-1
User Ianbeks
by
5.8k points

1 Answer

11 votes

Answer:

  • Slope = 5
  • y-intercept = -23

Explanation:

Using the two points, we need to calculate the slope first.

  • Slope formula = y₂ - y₁/x₂ - x₁

Work:

  • y₂ - y₁/x₂ - x₁ = 7 - (-3)/6 - 4
  • => 7 + 3/2
  • => 10/2
  • => 5

Hence, the slope is 5.

To find the y-intercept, we must create a coordinate plane.

Please refer to my coordinate plane.

Looking at the coordinate plane, we can conclude that the y-intercept is -23.

Hence, the slope and y-intercept are 5 and -23 respectively.

What is the slope and y-intercept of - a line that goes through the points (4, - 3) and-example-1
User Johann Bzh
by
5.4k points