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Identify the slope of and y-intercept of the line -2x +5y=-30

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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
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