2.
(05.02)
Look at the graph shown:
A coordinate plane is shown. A line passes through the y-axis at -1 and through the point 1 comma 2.
Which equation best represents the line? (4 points)
y = 1 over 3.x − 1
y = 3x − 1
y = −x + 1 over 3.
y = 3x + 1
To find the equation of the line, we need to determine the slope and y-intercept.
The slope can be found using the two given points on the line: (0, -1) and (1, 2).
slope (m) = (change in y) / (change in x)
= (2 - (-1)) / (1 - 0)
= 3/1
= 3
The y-intercept can be found by substituting one of the points into the equation y = mx + b and solving for b. Let's use the point (1, 2).
2 = 3(1) + b
2 = 3 + b
b = -1
Therefore, the equation of the line is y = 3x - 1. The correct option is y = 3x - 1.