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3 years ago

Which equation matches to the graph?

Mathematics

2 answers:

Nadusha1986 [10]3 years ago

7 0

Answer:

2. y = -1/2x - 1

Step-by-step 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!

erastova [34]3 years ago

4 0

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

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