Answer:
y-intercept: (0,4)
Slope: -1/3
Explanation:
y-intercept: (The y-axis is the vertical axis.) this is where the line crosses the y-axis. (This always occurs when x = 0.) From the graph, the purple line crosses the y-axis at 4 therefore: y-intercept = (0,4)
slope:
slope = rise / run
this means slope = y/x
first step is to locate to places along the purple line that cross the grid boxes neatly. this occurs at (-3,5), (0,4), and (3,3).
Taking any two of the three intersections listed above one can find the slope of a line. To demonstrate solving, we will solve for slope three way using the same method, different points:
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Option 1: (-3,5), (0,4)
[With ordered pairs, x is always listed first followed by y]
slope between two points = change in y / change in x
so slope = (5 - 4) / (-3 - 0)
slope = 1/-3
slope = -1/3
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Option 2: (0,4), (3,3)
[With ordered pairs, x is always listed first followed by y]
slope between two points = change in y / change in x
so slope = (4 - 3) / (0 - 3)
slope = 1/- 3
slope = -1/3
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Option 3: (-3,5), (3,3)
[With ordered pairs, x is always listed first followed by y]slope between two points = change in y / change in x
so slope = (5 - 3) / (-3 - 3)
slope = 2/- 6
reduce to:
slope = 1/- 3
slope = -1/3
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NOTES: a tip to check if a slope will be positive or negative can be found by just looking at the graph. If the lower part of the line is to the left, the slope will be positive. If the lower part of the line is to the right (as in question), the slope will be negative.