Question

What is the slope and the y-intercept of the line y = 10x + 4? Ensure the y-intercept is written as a coordinate.

A) Slope = 10, y-intercept = (0, 4)
B) Slope = 4, y-intercept = (0, 10)
C) Slope = 10, y-intercept = (4, 0)
D) Slope = 4, y-intercept = (10, 0)

Answer 1

The slope of the line y = 10x + 4 is 10, and the y-intercept is (0, 4), matching option A.

Step-by-step explanation:

The equation of the line provided is y = 10x + 4. To find the slope and y-intercept of the line, we can compare this equation to the slope-intercept form of a linear equation, which is y = mx + b, where m represents the slope and b represents the y-intercept. In this equation, the coefficient of x is the slope, and the constant term is the y-intercept.

For the given equation, 10 is the coefficient of x, so the slope of the line is 10. The constant term is 4, which means the y-intercept is 4. However, the y-intercept should be written as a coordinate where the line crosses the y-axis, which happens at x=0. Therefore, the y-intercept as a coordinate is (0, 4).

The correct answer is: Slope = 10, y-intercept = (0, 4), which corresponds to option A.