Finding Slope
What is the formula to calculate the slope of a line?
slope = (y2 - y1)/(x2-x1)
Solve for x: x + 5 = 12
x = 7
Solve for x: 2x + 3 = 11
x = 4
What does it mean if a linear equation has no solution?
The lines are parallel and never intersect.
Solve using substitution:
y =-x + 10 and y = x - 2
x = 6 and y = 4
If a line passes through the points (2,3) and (4,7), what is slope?
2
Solve for 7: 3y = 15
y = 5
What is tehvalue of y in 3y - 6 = 12?
y = 6
If a system of equations has infinitely many solutions, what can you say about the equations?
The equations are equivalent (they represent the same line).
What is the solution for the system
y = -2x + 2 and y = x - 1
What does a slope of zero indicate about a line?
The line is horizontal.
What is the value of x if x - 9 = 4?
x = 13
If 5x + 2 = 17, what is x?
x = 3
Give an example of a linear equation with no solution.
like x + 2 = x + 5
Any 2 sides that are not equal!!!!
How many solutions does this system have?
y = 2x + 10 and y = 2x + 5
If the slope is negative, what can you say about the direction of the line?
The line goes down from left to right.
Solve for x:
5 = x/2
x = 10
Solve for z: 4z + 8 = 24
z = 4
How can you tell if a system of equations has exactly one solution?
The lines intersect at one point. You get one (x, y) coordinate pair.
How many solutions does this system have?
y = 3x + 2 and y = -2x + 10
This system has 1 solution.
The equations have different slopes and different y- intercepts.
How would you describe a vertical line in terms of slope?
The slope is undefined.
y = -4
Find x if 2(x - 3) = 10
x = 8
What type of solutions does the system
2x + y = 6 and
4x + 2y = 12 have?
Infinitely many solutions.
They are the same line. Equation 2 is exactly 2X the first equation.
Solve this system of equations:
x = 5 and y = 3x + 5
x = 5 and y = 20