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Find the equation of a line with a slope of −1/2 that passes through the point −4, 10

User Or Bachar
by
7.6k points

2 Answers

2 votes

Answer:
y=-(1)/(2) x+8

Explanation:

An equation of a line can be in slope intercept form which is y=mx+b

m is the slope, b is the y intercept, x it the x coordinate, and y is the y coordinate. Since we know the slope is -1/2 and we know a x coordinate is -4 and a y coordinate is 10 we can sub them in and solve for the value of b.


y=mx+b\\10=(-(1)/(2))(-4)+b\\10=2+b\\10-2=2+b-2\\8=b

The value of b is 8. We can now sub it in for our equation of the line. This time with x and y as variables.

y=-1/2x+8

User Navruzbek Noraliev
by
8.4k points
4 votes

Answer:

y - 10 = -1/2(x + 4)

General Formulas and Concepts:

Algebra I

Coordinates (x, y)

Point-Slope Form: y - y₁ = m(x - x₁)

  • x₁ - x coordinate
  • y₁ - y coordinate
  • m - slope

Explanation:

Step 1: Define

Identify variables

m = -1/2

Point (-4, 10) → x₁ = -4, y₁ = 10

Step 2: Find

  1. Substitute in variables [Point-Slope Form]: y - 10 = -1/2(x - -4)
  2. Simplify: y - 10 = -1/2(x + 4)
User Rya
by
8.7k points

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