Graphing Test Review Algebra

Is the equation Linear? xy = 7x + 4 = y ¾ = y xy = 7x + 4 = y ¾ = y No yes yes

Find the Slope A(-1, 2), B(0, 5)C(4, -8), D(-3, -6) A(-1, 2), B(0, 5)C(4, -8), D(-3, -6) m = 3 m = -2/7 m = 3 m = -2/7

Given a point and a slope, fill into the equation in point-slope form. m = 3, P(3, 4)m = -6, Q(-2, 3) m = 3, P(3, 4)m = -6, Q(-2, 3) y – 4 = 3(x – 3) y – 3 = -6(x + 2)

Rearrange equations into standard form. y = 2x + 6y – 1 = 3( x – 2) y = 2x + 6y – 1 = 3( x – 2) 2x – y = -6 3x – y = 5

Given a slope and y-intercept fill into slope-intercept form. m = -2, b = 3m = ½, b = -1 m = -2, b = 3m = ½, b = -1 y = -2x + 3 y = ½x - 1

Given two points, find the slope and slope-intercept equation. A(3, 4), B(-3, 6) G(-1, -2), H(7, 8) y = -1/3 x + 5 y = 5/4 x – 3/4

Rearrange equations into slope-intercept form. Identify slope and y-intercept from the equation. 3y = 6x + 9 2x + y = 4 3y = 6x + 9 2x + y = 4 y = 2x + 3y = -2x + 4 m=2 b=3 m=-2 b=4

Name the x and y intercepts. 3x – 2y = 6 3x – 2y = 6 x-intercept = (2,0) y-intercept = (0,-3)

Use any method to graph the equation. y =- ¾x + 2 y =- ¾x x + 2y = 14 -7x + 2y = 14

Identify the pair of lines as parallel, perpendicular or neither. y = 2x + 3 y = 2x + 3 2x + 4y = 7 2x + 4y = 7perpendicular

Use the scatterplot to answer the questions. 1.Identify the scatterplot as positive, negative, or no relation. positive 2.2. Draw a best fit line through the data. (see graph) 3.Create an equation of a line through the data in slope-intercept form. Pick two points ex. (4,300) (16,500) Find slope 200/12 = 50/3 Fill in pt-slope To find b y – 300 = 50/3(x - 4) Rearrange for Proper form y = 50/3x + 800/3