5.3 Point-Slope Form
What is Point-Slope form? _________________________
𝑦 & 𝑥 DO NOT get replaced with numbers.
𝑦1 & 𝑥1 DO get replaced with numbers. 𝑚 gets replaced with the slope of the line.
Ex. 1:
Write an equation in point-slope form of the line that passes through the point
(-1,4) and has a slope of 2.
Ex. 2:
Graph the equation
2
a) 𝑦 + 2 = 3 (𝑥 − 3)
b) 𝑦 − 1 = −(𝑥 − 2)
Ex. 3:
Write an equation in point-slope form of the line shown
a)
b)
Word Problems
1. You are designing a sticker to advertise your band a company charges $225 for
the first 1,000 stickers and $80 for each additional 1,000 stickers.
a) Write an equation that gives the total cost of stickers as a function of the
number of stickers ordered. (Point-slope form)
b) Find the cost of 9,000 stickers.
2.
You Try:
Write an equation in point-slope form of the line that passes through the given
point and has the given slope:
1) (2,1), m=2
2) (7,-1), m=6
3) (-8,2), m=5
4) (-11,-3), m=-9
Graph the equation:
5) 𝑦 + 3 = −2(𝑥 − 2)
6) 𝑦 + 8 = −(𝑥 + 4)
Write an equation in point-slope form of the line that passes through the 2 points
7) (7,2), (2,12)
8) (-4,-1), (6,-7)