What is the equation of the line?A. y=3/4x−1 B.y=4/3x+1 C.y=3/4x+1 D.y=4/3x−1
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Answer:
B. y = 4/3x + 1
Step-by-step explanation:
The offered choices are in slope-intercept form:
y = mx + b
where m represents the slope (rise/run) and b represents the y-intercept.
The graph crosses the y-axis at y=1, so the y-intercept is +1. That eliminates choices A and D.
The slope is greater than 1, so choice C is eliminated. You know the slope is greater than 1 because the line goes up more than 1 unit for a 1-unit change to the right. If you look where the line crosses grid points, you see that it rises 4 units for a run of 3 units to the right. That means ...
m = rise/run = 4/3
The equation is ...
y = 4/3x +1 . . . . matches choice B
Answer:
B. y = 4/3x + 1
Step-by-step explanation:
First, find the slope using rise/run (y2 - y1) / (x2 - x1)
Use the points (0, 1) and (3, 5)
Plug in the numbers:
(5 - 1) / (3 - 0)
= 4/3
Looking at the graph, we can see the y intercept is (0, 1) so we can plug in 1 into the equation y = mx + b as b:
y = mx + b
y = 4/3x + 1