SOL Review Packet Day 1 - Simmons' Math
Finding Slope
Find the slope of the line graphed below.
1) 2) 3) 4)
Find the slope of the line between the two given points.
5) ( 3, 7) and (5, 1) 6) (-2, 3) and (5, -1) 7) (-1, 6) and (-4, 4)
8) A line that increases (goes up) from left to right has _________________ slope.
9) A line that decreases (goes down) from left to right has _________________ slope.
Find the slope of the line between the two given points.
10) ( 2, 1) and (2, -3) 11) (0, 6) and (-5, 6) 12) (7, -8) and (5, -10)
Identify the slope and y-intercept of the given line.
13) y = -2x + 5 14) y = x 15) 2x + 6y = 12
16) 17)
Tell whether the slope of each line is
positive, negative, zero, or undefined.
Line A : _____________ Line B : ________________
Line C : _____________ Line D : ________________
Finding X and Y Intercepts
Identify the x- and y-intercepts on the graphs below:
1) 2) 3)
Find the x- and y-intercepts. Then use them to graph the line.
4) [pic] 5) [pic] 6) [pic]
Graph the line.
7) y = 2x – 1 8) x = 2.5 9) y = -4x + 1
10) y = -1.5 11) 8x – 2y = -8 12) x + 3y = -3
Writing Equations
Write the equation of the line that passes through the given points.
1) [pic] 2) [pic] 3) [pic]
4) Write the equation of the line that passes through the point (2, 4) and is parallel to the
line y = ½ x – 1.
5) Write the equation of the line that passes through the point (2, 4) and is perpendicular to the
line y = ½ x – 1.
6) Determine which lines are parallel and/or which lines are perpendicular:
Line a: y = 3x + 4 Line b: 6x + 2y = 8 Line c: 9x – 3y = 6
Graph the line and state its slope.
7) y = 4 8) x = -2 9) y = -x 10) y = 2x
Slope:__________ Slope:_________ Slope:_________ Slope:_________
Find a Point-Slope equation for a line containing the given point and having the given slope.
11. (4, -3), m = -1
12. (-5, -6), m = 2
13. (-7, 2), m = 3
14. (3, 5), m = -2
Graph each of the following lines by first giving the point and the slope.
15. y + 2 = 1/3 (x + 1)
Point _______ Slope _______
[pic]
16. y + 1 = -½ (x – 3)
Point _______ Slope _______
[pic]
17. y – 3 = -2 (x – 4)
Point _______ Slope _______
[pic]
18. y – 5 = 3 x
Point _______ Slope _______
[pic]
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