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Identify the equation that describes the line in slope-intercept form.

slope =4, point (3,−2) is on the line

y = 4x − 2
y = 4x + 14
y = 4x − 14
y = 4x + 10

User Maxday
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4.5k points

2 Answers

2 votes

Answer:

The correct answer is y = 4x − 14

Explanation:

How to find slope-intercept form:

Start off with the base equation "y = mx + b"

m is the slope in this equation, so you would put 4 there.

b is the y-intercept, or where the y-coordinate intersects the y-axis. The coordinate pair would have to have the x-coordinate be 0, so you wouldn't put -2 there. Instead, you would have to insert the coordinates into the equation, making it -2 = 4(3) + b. Soon, it'll be -2 = 12 + b, and you would have to subtract 12 on each side, ending with b = -14

User Diluka W
by
5.1k points
6 votes

Answer:

  • y = 4x − 14

Explanation:

Given

  • Slope = 4
  • Point = (3, -2)

Slope-intercept form is:

  • y = mx + b
  • m = 4, x = 3, y = -2 given

Substituting the values in the form, to fiind the value of b:

  • -2 = 4*3 + b
  • -2 - 12 = b
  • b = -14

Correct option is:

  • y = 4x - 14
User Marek Maszay
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4.0k points