Linear Equations in Two Variables
Work with equations involving x and y, including slope-intercept form.
Practice Problems
2x + 3y = 12
4x + 2y = 8
Pro Tips & Shortcuts
SAT Tip: On the SAT, you'll often need to find specific solutions or interpret the meaning of coefficients in context.
SAT Tip: Finding x and y intercepts is especially useful - set x=0 to find y-intercept, set y=0 to find x-intercept.
SAT Tip: Slope-intercept form is easier for graphing; standard form is better for finding intercepts.
SAT Tip: The x and y intercepts are the easiest points to find and are often asked for on the SAT.
SAT Tip: Once in slope-intercept form, you can immediately identify the slope and y-intercept for graphing.
To find solutions quickly, choose easy values for one variable (like 0) and solve for the other.
Use x=0 and y=0 to quickly find two points for graphing.
To convert to slope-intercept: isolate y on one side.
Always verify by substituting back into the original equation.
Divide all terms by the coefficient of y to isolate y.