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A measure of the steepness of a line. Given two points with coordinates (X1,Y1) and (x2,y2) on a line the slope, m, of the line is given m = rise/run= y2-y1/x2-x1
transformation
Pythagorean Theorem
What is the y-intercept of a line that has the equation y = 1/2 x – 6
slope
The y-intercept of a line is the point where the line crosses the y-axis. This occurs when x = 0.
For the equation ( y = frac{1}{2}x – 6 ), we can find the y-intercept by substituting 0 for x:
[
y = frac{1}{2}(0) – 6
]
[
y = -6
]
So, the y-intercept is -6. This means the line crosses the y-axis at the point (0, -6).
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