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Linear Equations Flash Cards

What is the slope of the line y = 12? Zero
Point-Slope Form y - y1 = m(x - x1)
Is the line x = 12 horizontal or vertical? Vertical (Up and Down)
Slope Formula m = (y2 - y1)/(x2 - x1)
What is the slope of the line x = 12? Undefined
How do you find the equation of a line given a point and a slope? Point-Slope Form: y-y1 = m(x-x1)
What is the equation of the vertical line through (5, 10)? x = 5
How do you find the equation of a line given two points? Find the slope of the line. Then, substitute the slope and one of the given points into point-slope form: y - y1 = m(x - x1).
What are the intercepts of the line 3x - 4y = 12? (0, -3) and (4, 0)
What is the equation of the horizontal line through (5, 10)? y = 10
Standard Form ax + by = c
Slope Intercept Form y = mx + b
Point Slope Form y - y1 = m(x - x1)
What is the equation of a line with undefined slope and containing the point (-8, 6)? x = -8
What is the most efficient way to graph a line in standard form, ax + by = c? Find both intercepts, (0, y) and (x, 0).
What is the most efficient way to graph a line in slope intercept form, y = mx + b? Plot the y-intercept then count out the slope, m = rise/run.
Is the line y = 7 horizontal or vertical? Horizontal (straight across)
Distance Formula D = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
Midpoint Formula ( (x1 + x2)/2, (y1 + y2)/2 )
Direct Variation Equation y = kx
Inverse Variation Equation y = k/x
Steps for Solving a Variation Problem 1) Write variation equation. \\2) Substitute given x and y to find k. \\3) Substitute value of k into original equation. \\ 4) Substitute next x or y-value and solve for missing variable.
Created by: milesdl