Step a. Solve the equation:
1. y = 5x - 4
This equation is already in y = mx + b format.
Step b. Determine the slope (m) and y-intercept (b) of the equation:
The slope (m) is 5 and the y-intercept (b) is -4.
Now let's move on to the next equation:
2. 3y = 15x - 12
Step a. Solve the equation:
To get the equation in y = mx + b format, divide both sides by 3:
y = (15/3)x - 12/3
Simplifying the equation further,
y = 5x - 4
Step b. Determine the slope (m) and y-intercept (b) of the equation:
The slope (m) is 5 and the y-intercept (b) is -4.
Since both equations have the same slope (m) and y-intercept (b), they represent the same line. Therefore, the pair of equations form a system with infinite solutions.
Complete steps a. through e. to determine which pair of equations form a system
with one solution, no solution, or infinite solutions.
a. Solve each equation and make sure it is in y=mx+b format.
1. y=5x–4
1 answer