Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points)
Part B: What is the solution to the pair of equations? (4 points)
So, both equations are essentially linear equations. Linear equations are written in the format y = mx+b, where m represents the slope/slope intercept and b represents the y-intercept. --------------------------------------------------------------------------------------------------------------- Part A the slope and y-intercept
y = mx +b m - the slope; b- y-intercept
therefore;
y = 6x - 4 m = 6; b = -4
y = 5x - 3 m = 5; b = -3
The coordinates of the point where the lines are crossed are the solution to the system of linear equations.
How to graph the lines: y = 6x - 4 y-intercept (0; -4) for x = 1 ⇒ y = 6 · 1 - 4 = 6 - 4 = 2 ⇒ (1; 2)
y = 5x - 3 y-intercept (0; -3) for x=1 ⇒ y = 5 · 1 - 3 = 5 - 3 = 2 ⇒ (1; 2)