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Which equation matches to the graph?

1. y = -x + 1/2
2. y = (-1/2)x - 1
3. y = 2x - 1
4. y = 4x + 2

Which equation matches to the graph? 1. y = -x + 1/2 2. y = (-1/2)x - 1 3. y = 2x-example-1
User Mjuopperi
by
7.5k points

2 Answers

6 votes

Answer:

Points :-

  • ( -2,0)
  • (0,-1)

Calculation of Slope :-

  • m = 0+1/-2-0
  • m = 1/-2
  • m = -1

Y intercept :-

  • y intercept = -1

Using Slope Intercept Form :-

  • y = mx + c
  • y = -1/2x + -1
User Durga Vundavalli
by
8.5k points
7 votes

Answer:

2. y = -1/2x - 1

Explanation:

First we want to find the slope of the line.

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values using two points (-4, 1) & (2, -2)

(-2 - 1) / (2 - (-4))

Simplify the parentheses.

= (-2 - 1) / (2 + 4)

= (-3) / (6)

Simplify the fraction.

-3/6

= -1/2

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = -1/2x + b

b is the y-intercept when the line crosses the y-axis.

From the graph, we can see that the point on the y-axis is (0, -1)

Therefore, b is -1.

Plug this into the equation.

y = -1/2x - 1

Hope this helps!

User Pygeek
by
7.5k points

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