Finding Slope of a Line
When graphing linear equations, where do we begin? (What is the first point we graph?)
We begin at the y-intercept.
Solve the following equation:
3x + 1 = 19
6
Evaluate:
-2 - 5
-7
What is a system of equations?
Two or more equations with the same variables that can be solved together.
Graph the following equation. Include at least 3 points.
y = 1/3x + 4
Graph should start with the point at (0, 4) Movement should be 1 up and 3 to the right continuing to another point. Movement could also be 1 down and 3 to the left.
Solve the following equation:
1/2x - 4 = 2
12
Solve:
3x - 2 = -14
x = -4
What are the three ways we learned to solve systems of equations?
1. Graphing
2. Elimination
3. Substitution
What is the slope of a vertical line?
Undefined
Graph the following equation. Include at least three points.
y = -2
Graph should begin with a point on the y-axis at -2. A horizontal line should be drawn through -2 extending on both sides of the y-axis.
Solve the equation:
2(x + 1) - 3 = 5
3
What is the slope of this equation?
x = 5
Undefined Slope
Solve the system of equations using whatever method you want:
y = -2
4x - 3y = 18
(3, -2)
Graph the following system of equations. What is the solution?
y = 4x + 3
y = -x - 2
Solution: (-1, -1)
Rewrite the following equation in slope-intercept form (solve for y) and graph it.
3x + 6y = -18
y = -1/2x - 3
Graph the following equation. 8x + 4y = 16
Should be rewritten as y = -2x + 4 and then graphed.
Solve the system of equations using whatever method you want:
y = -1/2x - 1
y = 1/4x - 4
(4, -3)
Graph the following system of equations and find the solution.
y = - 1
y = -5/2x + 4
(2, -1)
Rewrite the following equation in slope-intercept form (solve for y) and graph it.
4x - 2y = -12
y = 2x + 6
Is x = 2 a solution to the equation 2(x - 5) + 3 = 13 ?
No it is not a solution.
Solve the system of equations using whatever method you want:
x - y = 11
2x + y = 19
(10, -1)