slope vocabulary & steps to solve certain situations
the steepness of a line on a graph, equal to its vertical change divided by its horizontal change; rise over run; rate of change
y=mx+b, where m is the slope and b is the y-intercept of the line.
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
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
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
Have the same slope, different y-intercepts.
Have opposite & reciprocal slopes