All About Linear Equations
Things you Need to Know at New Trier
1) Find the equation of the line that has a slope of -4 and a y-intercept of 18.
2) Find the equation of the line that goes through the point (5,6) and has a slope of ½.
3) Find the equation of the line that goes through the points (3,5) and (-4,9).
4) Find the equation of the line that is vertical and passes through (4,-5).
5) Find the equation of the line that is horizontal and passes through (9,-3).
6) Find the x and y intercepts of the line 2x – 3y = 12. Write these answers as two separate
coordinates.
7) A line passes through (5,-2) and (4,-4). Write an equation of this line in all three forms
(point-slope, slope-intercept, and standard form).
a. Point-slope:
b. Slope-intercept:
c. Standard form:
.
8) Find the equation of the line that is parallel to 2x – 6y = 18 and passes through (5,-8).
9) Find the equation of the line that is perpendicular to y = 4x – 3 & passes through (6,-8).
Graph each of the following lines:
*Hint: You don’t always have to put equations in slope-intercept form in order to graph
them. An equation in point-slope form tells you a different point from which to begin using
the slope. An equation in standard form make it easy to find the two intercepts. Just graph
the two intercepts and then use a ruler to draw the line.
!
!
10) 𝑦 = − ! 𝑥 + 4
11) 𝑦 − 3 = ! (𝑥 − 2)
12) 3𝑥 − 4𝑦 = 12
13) 2𝑦 = −4𝑥 + 10
14) 𝑦 = 4
15) 𝑥 = −2