Answer:
The slope is Two-thirds, and the y-intercept is –2.
Step-by-step explanation:
Given the points (0, negative 2) and (3, 0):
We can solve for the slope of the line using the following equation:
Let (x1, y1) = (0, -2)
(x2, y2) = (3, 0)
Substitute these values into the formula:
Therefore, the slope is 2/3 or two-thirds.
Next, the y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, <em>b</em>). One of your given points is the y-intercept, (0, -2). Therefore, the y-intercept = -2.
Combined is the linear equation in slope-intercept form, y = 2/3x - 2.
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