The graph of a linear relationship has a slope of -2/5 and a y-intercept of 3.
which equation represents the linear relationship?
A. y=3x - 2/5
B. y= 3x + 2/5
C. y= - 2/5x -3
D. y= - 2/5x + 3
The correct equation that represents the linear relationship is D. y = -2/5x + 3.
To determine the equation that represents the linear relationship with a slope of -2/5 and a y-intercept of 3, we can use the slope-intercept form of a linear equation:
y = mx + b
where:
m represents the slope
b represents the y-intercept
Given that the slope is -2/5 and the y-intercept is 3, we can substitute these values into the equation:
y = (-2/5)x + 3
Simplifying this equation, we get:
y = -2/5x + 3
Therefore, the equation that represents the linear relationship is:
D. y = -2/5x + 3
To determine the equation that represents the linear relationship, we can use the slope-intercept form of a linear equation. The slope-intercept form is given by:
y = mx + b
Where "m" represents the slope and "b" represents the y-intercept.
Given that the slope is -2/5 and the y-intercept is 3, we can substitute these values into the equation.
So, the equation representing the linear relationship is:
y = -2/5x + 3
Therefore, the correct answer is option D: y = -2/5x + 3.