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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