Question

Using the equation y = 1x - 5 will the ordered pair (30, 25) make the equation true (fall on the line)? Explain.

Use substitution. Don't mix up your x and y-coordinates.

Function / formula y = 1x - 5
y= y-coordinate
1 = slope (constant rate of change, rise over run, constant of proportionality)
x = x-coordinate
-5 = y-intercept (where your line passes through the y-axis).

Answer 1

The ordered pair (30, 25) satisfies the equation y = 1x - 5 because substituting x with 30 gives us y = 25, which matches the y-coordinate of the ordered pair.

Step-by-step explanation:

To determine whether the ordered pair (30, 25) makes the equation y = 1x - 5 true, we need to substitute the x-coordinate (30) into the equation and see if the y-coordinate (25) is the resulting value.

Using substitution:

y = 1(30) - 5
y = 30 - 5
y = 25

Since the calculated value of y is indeed 25, which is the y-coordinate of our ordered pair, we can confirm that the ordered pair (30, 25) does satisfy the equation and therefore lies on the line represented by the equation.