Question

1. What is the slope of the line y = 3x + 6?

a) 3
b) 6
c) -3
d) -6

2. Determine the y-intercept of the line y = -2x + 4.
a) 2
b) 4
c) -2
d) -4

Answer 1

The slope of the line y = 3x + 6 is 3, and the y-intercept of the line y = -2x + 4 is 4.

Step-by-step explanation:

Understanding the Slope and Y-Intercept of a Line

The slope of the line given by the equation y = 3x + 6 is the coefficient of x, which is 3. The slope represents the rate at which y increases for a unit increase in x. Therefore, with every increase of 1 on the horizontal axis (x), there is a rise of 3 on the vertical axis (y), which makes the slope 3 (option a).

For the second part, the y-intercept is the value of y when x equals 0. Looking at the equation y = -2x + 4, when x is 0, y is 4. Hence, the y-intercept is 4 (option b). The y-intercept is the point where the line intersects the y-axis.