CHAPTER 3
SECTION 3.3
Writing Linear Equations
MINI LESSON
Writing Linear Equations
A linear equation can be written in point-slope form or slope-intercept form.
Point-slope form is \(y-y_1=m(x-x_1)\).
If two points are given, first find the slope using \(\frac{y_2-y_1}{x_2-x_1}\).
Then substitute the slope and one point into the equation.
Question 1
What is an equation of the line that passes through \((3,7)\) and has a slope of 2?
Question 2
What is an equation of the line that passes through the points \((2,7)\) and \((-1,3)\)?
Question 3
Which equation represents the line that passes through the points \((-1,8)\) and \((4,-2)\)?
Answer Key
Writing Linear Equations
- 1.A. \(y-7=2(x-3)\)
- 2.D. \(y-7=\frac{4}{3}(x-2)\)
- 3.A. \(y=-2x+6\)