Interpreting Equations
Express 2x – 3y = 12 in the form y = mx + b
y = 2/3x -4
What can we say about the graph of the system of equations with no solution?
They are parallel lines
One line has a slope of –2 and the y-intercept is –1.
The other line has a slope of –1/2 and the y-intercept is 2.
Graph the lines and give the coordinates of the solution(where they intersect)
(-2, 3)
How many solutions are there for these systems?
y = 3x + 2
y – 3x = 3
No solutions(parallel lines)
How many solutions are there for these systems?
y = 3x + 2
2/3y – 3x = 3
One solution
The perimeter of a rectangle is 52 m. The length is one meter less than twice the width. What is the length of the rectangle?
What is the solution to the following system of linear equations?
3a – b = 2
3a – 7b = -10
a = 4/3
b = 2
The sum of two numbers is 46 and their difference is 10. What are the two numbers?
The numbers are 28 and 18
Select the value of k that makes the graph of the following system of equations two parallel lines.
y = 4kx + 3
–12x + y = 8
k = 3