Does the equation y = 2/5x - 4 represent a linear relationship? If yes, determine the slope and y-intercept of the equation.
Yes, the equation y = (2/5)x - 4 represents a linear relationship. To determine the slope and y-intercept of the equation, we can compare it to the standard form of a linear equation, y = mx + b.
In this equation, the coefficient of x, which is 2/5, represents the slope of the line. Therefore, the slope of the line is 2/5.
The constant term, which is -4, represents the y-intercept. So, the y-intercept of the line is -4.
Yes, the equation y = 2/5x - 4 represents a linear relationship.
To determine the slope and y-intercept of the equation, you can compare it to the slope-intercept form of a linear equation, which is y = mx + b. Here, m represents the slope, and b represents the y-intercept.
In the given equation, y = 2/5x - 4, you can see that the coefficient of x is 2/5. This is the slope of the line. So, the slope of the equation is 2/5.
The constant term -4 is the y-intercept, which is the point at which the line intersects the y-axis. So, the y-intercept of the equation is -4.
To summarize:
Slope (m) = 2/5
Y-intercept (b) = -4