Question

A line’s equation is given in point-slope form:

Y+2 = -3(x+1)

The line’s slope is _____

A point on this line that is apparent from the given equation is_____

Answer 1

Slope: -3, apparent point: (-1, -2)

Explanation:

Point-slope form means the equation of a line is given in the form of y - y1 = m(x - x1), where x1 and y1 are coordinates of a point that lies on the line and m is its slope. Keeping this in mind while looking at the given equation, you can see that -3 is where m goes, meaning the slope is -3. You can also see that 1 and 2 are in the places where - x1 and - y1 go (don't forget those minus signs!) so you take those two and make them an ordered pair for your apparent point of (-1, -2).