Part A: To solve the pair of equations graphically, first plot both equations on the same graph. In order to do this, we need to identify the slope and y-intercept for each equation.
For the first equation y = 6x - 4, the slope is 6 and the y-intercept is -4. This means that the line will start at the point (0, -4) and increase by 6 units vertically for every 1 unit it moves to the right.
For the second equation y = 5x - 3, the slope is 5 and the y-intercept is -3. This means that the line will start at the point (0, -3) and increase by 5 units vertically for every 1 unit it moves to the right.
Part B: The solution to the pair of equations is the point where the two lines intersect on the graph. By plotting both equations and finding their point of intersection, you can determine the values of x and y that satisfy both equations simultaneously.
A pair of equations is shown below:
y = 6x − 4
y = 5x − 3
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)
1 answer