Question

If I multiply x by a positive number in the equation y=x, which direction does the line slant?

A) The line slants upward to the right.
B) The line slants downward to the right.
C) The line remains horizontal.
D) The line becomes vertical."

Answer 1

Multiplying x by a positive number in the equation y=x makes the line slant upward to the right, indicating an increase in slope and a steeper upward tilt.

Step-by-step explanation:

When you multiply x by a positive number in the equation y=x, the direction of the line slants upward to the right. This occurs because the slope of the line increases, and a positive slope indicates that the line rises on the y-axis as the x-value increases. The steeper the slope (the larger the positive number by which you multiply x), the steeper the upward tilt of the line will be on the graph. If the slope were positive and starts to increase, the line would rotate counter-clockwise around the y-intercept, causing a steeper tilt upwards.