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!
