Question

Use the image to answer the question.

An illustration shows a coordinate plane with four quadrants. The x and y axes range from negative 10 to 10 in one unit increments. A downward slanting line is graphed on the coordinate plane. The downward slanting line passes through closed points plotted at left parenthesis 0 comma 10 right parenthesis and left parenthesis 1 comma 7 right parenthesis.

Use the graph of 3x+y=10 to determine an additional ordered pair (x, y) that satisfies the equation. Find the ordered pair (x, y) if the x-coordinate is 3. Write as an order pair.

(1 point)
The ordered pair is ().

Answer 1

To find an additional ordered pair that satisfies the equation, we can use any point on the line. Let's use the point (0,10):

3x + y = 10
3(0) + 10 = y
y = 10

So the additional ordered pair is (0, 10).

To find the ordered pair where the x-coordinate is 3, we can plug in x = 3:

3x + y = 10
3(3) + y = 10
9 + y = 10
y = 1

So the ordered pair is (3, 1).