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1 answer:
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Answer:
Step-by-step explanation:
<h3><u>Question 12</u></h3>Find the slope of the line by substituting two points from the given table into the slope formula.
<u>Define the points</u>:
- Let (x₁, y₁) = (2, 7)
- Let (x₂, y₂) = (3, 13)
Substitute the found slope and point (2, 7) into the point-slope formula to create an equation of the line:
Given:
- f(4) = 3
- f(0) = -2
Therefore, two points on the line are:
- (4, -3)
- (0, -2)
The y-intercept is the y-value when x = 0.
Therefore, the y-intercept of the line is -2.
Substitute the y-intercept and the point (4, 3) into the slope-intercept formula and solve for <em>m</em> to find the slope:
Therefore, the equation of the line is:
Answer:
B. Multiply each x-value in the table by -1.
Step-by-step explanation:
A point reflected across the y-axis has the same y-value, but the x-value is replaced by its opposite. For example, (-2, -31) reflected across the y-axis becomes (2, 31).
The appropriate choice is ...
... B. Multiply each x-value in the table by -1.
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<em>Comment on the graph</em>
The purple points are the ones in the given table. The red points are the same with their x-coordinate multiplied by -1. You can see that they are the reflection of the purple points across the y-axis. The lines joining the points are to help you see the points and which data set they are in.
