Slope or rate of change. We use "m" as a coefficient for x to tell us the slope of a line.
ex. y = 2x +1
100
In the point-slope equation y - y1 = m(x - x1), what do x1 and y1 represent?
Any point on that line
100
Is x + y = 1 a linear equation in standard form?
Yes
100
Is it possible to have a Y-intercept at the point (4, 0). Double points: Why?
No. Because the point (4, 0) is not on the y-axis.
100
List two different forms of a linear equation.
Slope-intercept: y = mx + b
Point-slope: y - y1 = m(x - x1)
Standard: Ax + By = C
200
What does the b stand for in y = mx + b?
The y intercept. The number that y represents is a point where a line crosses the vertical axis on a coordinate plane.
200
Write the point-slope equation for y + 2 = 4x + 4
y + 2 = 4(x + 1)
200
Is 0.4x + 20y = 13 a linear equation in standard form?
No
200
A line has a slope of zero and goes through the point (0, 5). Is this the horizontal line y = 5 or the vertical line x = 5?
The horizontal line y = 5
200
Write y = 3x + 4 in point-slope form
y - 4 = 3(x - 0)
300
What is the equation of a line containing the point (-4, 2) with a slope of m = 3 in slope-intercept form?
y = 3x + 14
300
Name a point and the slope of a line represented by the equation y - 4 = 5(x + 6).
Point: (4, -6)
Slope: 5
300
Write the linear equation 0.4x + 20y = 13 in standard form.
4x + 200y = 130
300
Every point on a line moves three points up and one point over. What is this line's slope?
Three
300
The cost for 7 dance lessons is $82. the cost for 11 lessons is $122. Write a linear equation to find the total cost for x lessons.
(7, 82) and (11, 122) are two points on the line representing this relationship.
400
Write the equation of a line that contains the points (1,1) and (2,5) in slope-intercept form.
y = 4x - 3
400
Write an equation in point-slope form for a horizontal line that passes through (4, -1)
y + 1 = 0(x - 4)
400
Write 5x + 6y = 3x + 2 in standard form
2x + 6y = 2
400
The local skate park charges 5 dollars an hour to use their facility. Write a linear equation to find out how much it costs to skate any number of hours.
y = 5x
400
A line has a slope of negative one and y intercept of (0, 6). Write the equation for this line in standard form.
x + y = 6
500
Find the value of x so that the line passes through (x, 3) and (5, 9) with a slope of m = 2.
x = 2
500
A line contains the point (3,4) and has a slope of 12. Write a slope-intercept equation for this line.
y = 12x - 32
500
Write y - 3 = 3x + 12 in general form
3x - y = -15
500
The DJ for your party charges 500 up front and $50/hr after that. How much do you pay for 4 hours?
700 bucks
500
You get a job delivering pizzas. You get $20 for coming into work, and 2 dollars for every delivery. How much money do you make if you take five deliveries?