The correct answer is b) graph of a line passing through the points 0, 2 and 2, -1.
To find the slope, we use the formula: slope = (y2 - y1) / (x2 - x1)
So slope = (-1 - 2) / (2 - 0) = -3 / 2 = -2/3
To find the y-intercept, we can plug in the values of one of the points into the equation y = mx + b and solve for b. Using the point (0, 2) we have:
2 = (-2/3)(0) + b
b = 2
Therefore, the line that passes through the points (0, 2) and (2, -1) has a slope of -2/3 and a y-intercept of 2.
Which of the following graphs has a slope of negative two thirds and a y-intercept of 2?
a) graph of a line passing through the points 0 comma 2 and 3 comma 0
b) graph of a line passing through the points 0 comma 2 and 2 comma negative 1
c) graph of a line passing through the points 0 comma 3 and 2 comma 0
d) graph of a line passing through the points 0 comma 3 and 3 comma 1
1 answer