Slope
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11 terms
Terms | Definitions |
|---|---|
 slope | the steepness of a line on a graph, equal to its vertical change divided by its horizontal change; rise over run; rate of change |
| slope formula | m=y₂-y₁/x₂-x₁ |
| slope-intercept form | y=mx+b, where m is the slope and b is the y-intercept of the line. |
| direct variation | an equation of the form y = kx, where k is not equal to 0; "y varies directly with x"; k = y/x |
| constant of variation | the slope, or rate of change, in the equation y=kx, represented by k |
| Point-Slope Form | y - y1 = m(x - x1); use when given a point & a slope |
| Write an equation of a line given two points (x1, y1) & (x2, y2) | Step 1: Find slope Step 2: Use one point and the slope and plug in point-slope form Step 3: Solve for y to get it in slope-intercept form |
| Standard Form | Ax + By=C, where A, B, and C are not decimals or fractions, where A and B are not both zero, and where A is not a negative |
| Find the slope & y-intercept when given Standard Form | m = -A/B; b = C/B |
| Parallel lines | Have the same slope, different y-intercepts. |
| Perpendicular lines | Have opposite & reciprocal slopes |
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