Algebra 2 builds on your algebra skills by exploring more...
Algebra 1182 views·Updated Jul 13, 2026·1 pageUnderstanding Linear Functions: Graphing and Solving Equations in Two Variables
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Linear Functions Basics
Linear equations in two variables always follow the form Ax + By = C, where A, B, and C are real numbers (and A and B can't both be zero). When you solve these equations, you're looking for ordered pairs (x,y) that make the equation true.
To graph linear equations, you can find key points like the x-intercept (where the line crosses the x-axis) and y-intercept (where it crosses the y-axis). For example, in the equation 2x+8y=12, the y-intercept is (0,1.5) and the x-intercept is (6,0).
Slope is a critical concept that tells you how steep a line is. The formula is m = /. You'll use different forms of linear equations depending on what information you have:
- Slope-intercept form: y = mx + b
- Point-slope form: y - y₁ = m
Pro Tip: When solving linear inequalities , remember that the line is solid for ≤ or ≥, and dashed for < or >. The shading tells you which points satisfy the inequality - shade upward or right for "greater than" relationships!
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Algebra 1182 views·Updated Jul 13, 2026·1 pageUnderstanding Linear Functions: Graphing and Solving Equations in Two Variables
sav@s8atvika
Algebra 2 builds on your algebra skills by exploring more complex functions and equations. This chapter focuses on linear functions, which are the foundation for understanding more advanced math concepts you'll need throughout high school and beyond.
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of 1
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Linear Functions Basics
Linear equations in two variables always follow the form Ax + By = C, where A, B, and C are real numbers (and A and B can't both be zero). When you solve these equations, you're looking for ordered pairs (x,y) that make the equation true.
To graph linear equations, you can find key points like the x-intercept (where the line crosses the x-axis) and y-intercept (where it crosses the y-axis). For example, in the equation 2x+8y=12, the y-intercept is (0,1.5) and the x-intercept is (6,0).
Slope is a critical concept that tells you how steep a line is. The formula is m = /. You'll use different forms of linear equations depending on what information you have:
- Slope-intercept form: y = mx + b
- Point-slope form: y - y₁ = m
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