Identify the slope and intercept of the following linear equation. (y = 3/4x - 2)
a) Slope: -2; intercept: (-3/4)
b) Slope: -2; intercept: (3/4)
c) Slope: (3/4); intercept: -2
d) Slope: (3/4); intercept: (-2)

Respuesta :

Answer:

3/4 is the slope and -2 is the y intercept

Step-by-step explanation:

y = 3/4x -2

This equation is written in slope intercept form

y =mx+b  where m is the slope and b is the y intercept.

3/4 is the slope and -2 is the y intercept

The slope of the given linear equation y = 3/4x - 2 is (3/4), and the y-intercept is -2. Thus Option d is Correct.

In the linear equation y = 3/4x - 2, the coefficient of x (that is 3/4) represents the slope, and the constant term (that is -2) represents the y-intercept. The slope is the rate at which y changes with respect to x, and the y-intercept is the point where the line crosses the y-axis. Therefore, the correct identification for the slope and intercept of the given equation is slope: (3/4); intercept: -2.

The slope of the linear equation y = (3/4)x - 2 is 3/4, and the y-intercept is -2. To determine the slope, identify the coefficient of x, which is 3/4. The intercept is the constant value, in this case, -2. Therefore, the correct option is: Slope: (3/4); intercept: (-2).