The slope of the line represented by the equation 5x + 3y - 2 = 0 is -5/3, which is calculated by rearranging the equation into slope-intercept form.
The slope of a straight line can be determined from its equation. The standard form of a straight line equation is ax + by + c = 0, which can be rearranged to the slope-intercept form y = mx + b, where m represents the slope and b represents the y-intercept. To find the slope from the given equation 5x + 3y - 2 = 0, we need to solve for y.
Let's isolate y:
5x + 3y - 2 = 0
3y = -5x + 2
y = (-5/3)x + 2/3
Now that we have the equation in slope-intercept form, we can see that the slope (m) of the line is -5/3.