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Sagot :
Answer:
Equation C
Step-by-step explanation:
Notice that the y-intercept is (0, 1). Only Equations 2 and 3 have that feature. Arbitrarily choosing x = 2 and looking up the value of y, we get y = -3.
Does this point (2, -3) satisfy Equation B? Is -3 = -(2) + 1 true? NO, so we eliminate Equation B and focus on Equation C:
Does the point (2, -3) satisfy Equation C?
Is -3 = -2(2) + 1 true? Is -3 = -4 + 1 true? YES. So Equation C is the correct choice here.
Answer:
C. y = -2x + 1
Step-by-step explanation:
The equation can be represented as
y=mx+b
Where m is the slope and b is the y-intercept (if we were to plot the points on a graph, this is where the line would intercept the y-axis)
We can start by finding the slope...
[tex]Slope = \frac{y_2-y_1}{x_2-x_1}[/tex]
We can plug in any given x, y pairs into the equation. Let's use (0, 1) and (1, -1)...
[tex]Slope = \frac{-1-1}{1-0}=\frac{-2}{1}=-2[/tex]
The slope is -2
Now we plug this back into the equation to solve for the y-intercept...
y=-2x+b
Use any x,y coordinate pair to substitute into the equation...
1=-2(0)+b
1=0+b
b=1
Therefore the equation is...
C. y= -2x + 1
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