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Learn how to find the equation of a line using the slope-intercept form. Master this skill to excel in chemistry, physics, and advanced math courses.
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Linear equations in two unknowns are easy equations to understand, and they are useful equations that occur often. We will concentrate on mastering these equations to prepare for chemistry, physics, and advanced courses in mathematics.
To make our task easier, we will use y to represent the dependent variable and x to represent the independent variable. Also, we will always try to use the slope-intercept form of the equation. y = mx + b
Other forms of this equation are often used, but we will avoid them until we master the slope-intercept form.
We use the letter m to represent the slope and the letter b to represent the intercept. When we are given the exact coordinates of two points on a line, we can find the exact value of the slope and the exact value of the intercept.
Example: Find the equation of the line that passes through (-3, 2) and (3, -3).
Answer: y = -5/6x – ½
Example: Find the equation of the line that passes through (-4, 7) and has a slop of -3/5.
Answer: y = -3/5x + 23/5
