Question

Lesson 13: More Solutions to Linear Equations

Cool Down: Intercepted
A graph of a linear equation passes through (-2Ė0) and (0Ė-6) .
1. Use the two points to sketch the graph of the equation.
2. Is 3x - y = -6 an equation for this graph? Explain how you know.

Answer 1

To sketch the graph of the equation, plot the given points and connect them with a line. 3x - y = -6 is not an equation for this graph.

Step-by-step explanation:

To sketch the graph of the equation using the two points (-2, 0) and (0, -6), we can plot these points on a coordinate plane and connect them with a straight line. This line represents the graph of the equation.

Now, to determine if 3x - y = -6 is an equation for this graph, we substitute the x and y values from one of the given points into the equation. Let's use the point (0, -6):

3(0) - (-6) = -6
0 + 6 = -6
6 = -6

Since 6 does not equal -6, this equation does not hold true for the graph. Therefore, 3x - y = -6 is not an equation for this graph.

Learn more about Graphing linear equations