The x and y-intercepts of a line is the point where the line intercepts, or crosses, either the x-axis or the y-axis
- X-Intercept: when the line crosses the x-axis, the y value is 0
- Y-Intercept: When the line crosses the y-axis, the x value is 0
Intercepts can be written in (x, y) form or as "the x-intercept is 2". It can't be written as x = 2 (this is an equation of a vertical line going through the point (2, 0).
Intercepts Practice:
Find the x and y intercepts of this line. 
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The line crosses the x-axis at -8 and the y-axis at 2.
x-intercept: (-8, 0)
y-intercept: (0, 2) | |
Find the x and y intercepts of this line. 
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The line crosses the x-axis at -½ and the y-axis at -1.
x-intercept: (-½, 0)
y-intercept: (0, -1) | |
Find the x and y intercepts of this line. 
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The line never crosses the x-axis, but does cross the y-axis at -2.
x-intercept: none
y-intercept: (0, -2) | |
Find the x and y intercepts of this line. 
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The line crosses the x-axis at 2, but never crosses the y-axis.
x-intercept: (2, 0)
y-intercept: none | |
Tell whether each line has a positive, negative, zero, or undefined slope.

Hint
positive slopes uphill
Answer
orange is negative, blue is positive, light blue is undefined, and green has a slope of zero
Find the slope and x and y intercepts of this line:

Hint
pick two points to find the slope
Answer
x-intercept is 2, y-intercept is 3, and the slope is -1.5
Find the slope and x and y intercepts of this line:

Hint
you can use the intercepts as points for the slope
Answer
x-intercept is -3, y-intercept is 1, and the slope is ⅓