Question

(ON TIMER HELP!)

The line represented by the equation 3x + 5y = 2 has a slope of . Which shows the graph of this equation?

Answer 1

The second graph from the left shows this equation. The graph falls three units every five units it moves along the x-axis in the positive direction.

Answer 2

`\text{Slope of the given equation of line = }(-3)/(5)`

The required graph of the line is 3

Explanation:

The line is represented by the equation :

3x + 5y = 2

To find the slope of the line reduce the given equation of line in slope intercept form :

3x + 5y = 2

⇒ 5y = -3x + 2

`\implies y = (-3)/(5)+(2)/(5)`

By comparing it with the standard slope-intercept form :

`\text{Slope of the given equation of line = }(-3)/(5)`

Therefore, The required graph of the line is 3