Question

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

Answer 1

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

Answer 2

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!