Question

What is the equation of the line shown in the graph?

Answer 1

Answer:

y = -x – 2

Step-by-step explanation:

Slope is ΔY/ΔX =  -1

plug this into the equation:

1=-(-3) +b

= -2=b

so we get; y = -x – 2

Answer 2

Answer: y = -x - 2

Step-by-step explanation:

     I will be writing this equation in slope-intercept form.

     First, we will find our m value, also known as the slope.

        $\displaystyle \frac{\text{change in y}}{\text{change in x}} =\frac{1--4}{-3-2} =\frac{5}{-5}=-1$

     Now, we will find our b value, or the y-intercept.

-> The line intercepts the y-axis at (0, -2), so our y-intercept is -2.

     Lastly, we will write our equation.

y = mx + b

y = -x - 2

Read more about writing slope-intercept equations here:

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