Name: ______________________________ Section: _________________ Date: _________
Linear Equations
1. Find the slope and y-intercept of the line: 3x + 3y = 63
2. Find the slope and y-intercept of the line: y = 34x – 2
3. Find the equation of a line passes through (–7, –4) and (2, 4).
a.
b.
c.
d.
e.
Write an equation for the line in point-slope form.
Rewrite the equation in slope-intercept form.
Rewrite the equation in standard form using integers.
Rewrite the equation in functional form.
What is the domain and range for this function.
4. Write an equation in point-slope form for the line through the given point (1, -10) with the
given slope, m = 12.
5. A student finds the slope of the line between (15, 6) and (10, 17).
She writes
6  17
10  15
What mistake did she make?
6. Graph the equation: y + 5 = 25(x – 5)
7. Find the slope, y-intercept, and the equation of the line.
8. Find the rate of change for this situation: You run 4 miles in one hour and 12
miles in three hours.
9. Write an equation of a line in slope-intercept form that has the same slope as
2x – 5y = 12 and the same y-intercept as 4y + 24 = 5x.
10. write the slope-intercept form of the equation for the line
11. Use the slope and y-intercept to graph the equation:
1
y  x4
3
12. Find the slope of the line that passes through the pair of points: (4, 6) and (7, 0).
13. Find the x- and y-intercept for the line:
5x – 5y = 35.
14. Why is it NOT possible to write the equation of the line through (8, 2) and (8, 10) in
slope-intercept form?
15. Write y 
1
x  10 in standard form using integers.
2
16. Write an equation of a line with the given slope and y-intercept: m = –2, b = –6.