Slope and Equations of Lines
What is the slope of a line passing through the points (2,-6) and (-4,2)?
-4/3
Solve for x: 8x+16-16x = 32
x = -2
Write an equation of line that goes through (9,1) and is parallel to y=2/3x+6
y=2/3x-5
What does an open circle on the number line tell us when thinking about inequalities?
The inequality is not inclusive, so the number the circle above is not considered a solution to the problem
What sport does Gonzalo play?
Soccer
4x+6y=9
Standard Form
Solve for x: 4/5(15x+35)=-8
x = -3
What is Ryan's favorite color?
Green
Solve the inequality: -8x-7>49
x < -7
What are the x and y intercepts of a line?
X-intercept is where the line crosses the x-axis, the Y-intercept is where the line crosses the y-axis
What is Nick's bird's name?
Syd
Solve for x: 3(2x-5)-x=-7(x+3)
x = -1/2
Are these two lines parallel, perpendicular, or neither?
x+y=3 and y=-x +2
Perpendicular
Solve the inequality: 5(6+3x)+7>127
x > 6
Find the x and y intercepts for this line: 4x+8y = 32
Convert this line into slope intercept form:
y-3 = 2/3(x+9)
y=2/3x+9
How many cats does David have?
Three (3)
Are the lines formed by these pairs of points parallel, perpendicular, or neither?
Line 1: (-2,9) and (3,-1)
Line 2: (-8,-8) and (6,-1)
Perpendicular
Solve the inequality: 2x+3 > 2x -8 > 2x - 7
No Solution
(-22,0) and (0,11)
Write an equation of a line in slope intercept form that passes through the point (4,5) and has a slope of 3/4 .
y=3/4x+2
Solve for x: 3/4(12x+20)-1/6(18x-12)=-1
x = -3
Write the equation of a line that is perpendicular to (y-3)=-4(x+2) and passes through (5,-8).
(y+8)=1/4(x-5)
What is unique about Waskairy's birthday?
It is on the same day as her older sister's
What are the x and y intercepts of this line: y+2=-2/3(x+6)
(0,-6) and (-9,0)