To find the slope and y-intercept of a line given in the form of an equation like -2x + 5y = -30, we can first convert the equation into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
We start by isolating the y variable:
5y = 2x - 30
Dividing both sides by 5:
y = (2/5)x - 6
So, the slope of the line is m = 2/5 and the y-intercept is b = -6.
Therefore, the slope and y-intercept of the line -2x + 5y = -30 are m = 2/5 and b = -6, respectively