write an equation in slope-intercept form(if possible) of the line passing through the given point and having the given slope (-5,5);m=2/5

The equation in slope-intercept form is y = mx + b, where m represents the slope and b represents the y-intercept.

Using the given point (-5, 5), we can substitute the x and y values into the equation:

5 = (2/5)(-5) + b

Simplifying, we get:

5 = -2 + b

To solve for b, we can add 2 to both sides of the equation:

5 + 2 = b

7 = b

Therefore, the equation in slope-intercept form is:

y = (2/5)x + 7