Algebra-1

Tom’s equation is y = −2x − 4. The graph shows:

An increasing line, indicating a positive slope.

The line passes through the points (2,0) and(0,−4).

Why Tom is incorrect:

Slope: Tom's slope is -2, which means the line would be decreasing, but the graph shows an increasing line. The correct slope should be positive, not negative.

Y-intercept: The y-intercept in Tom's equation is -4, which is correct for the point (0,−4). However, the slope is incorrect.

Correct Equation: With a positive slope and the correct y-intercept, the equation should be: y = 2x − 4.

Here’s a brief explanation of why the other options are incorrect:

A: The slope is 2. For the points (2,0) and (0,−4):