To find the slope of the line given by the equation 5y + 6x – 2 = 0, we first need to rearrange the equation into the slope-intercept form, which is y = mx + b, where m represents the slope.
Starting with the equation:
5y + 6x – 2 = 0
We can move the other terms to the right side:
5y = -6x + 2
Next, we’ll divide every term by 5 to solve for y:
y = - rac{6}{5}x + rac{2}{5}
From this equation, we can see that the slope (m) is - rac{6}{5}. Therefore, the slope of the line is -1.2.