9514 1404 393
Answer:
Step-by-step explanation:
When you need to drag points around to plot your line, it is convenient to use one of them to plot the y-intercept. That is the point on the y-axis that is equal to the constant in the equation.
y = -5x +6 . . . . . . . . y-intercept is (0, 6)
y = 3x -2 . . . . . . . . . y-intercept is (0, -2)
__
Then you need an additional point on each line. When the slope is a fraction, it is often convenient to use the denominator of the fraction as an x-value. Here, the slopes are integer values, so choosing x=1 to find another point can work well.
y = -5(1) +6 = 1 . . . . . the point (1, 1) is on the first line
y = 3(1) -2 = 1 . . . . . . .the point (1, 1) is on the second line
__
Now, you know a point that satisfies both equations, (x, y) = (1, 1), so you know their solution. If you plot your two lines, you will see they intersect at this point, which is the solution to the system of equations.
