Question

Write the equation of the line that passes through the points (0, -5) and (2, -1).

Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answer 1

y = -2x + 3

Explanation:

To find the slope, we can use this formula: y2 - y1/x2 - x1

Y2 is the y - coordinate from the second coordinate, so you should be able to figure out what the rest of the letters represent in that formula.

So we would plug in the coordinates and find the slope.

-1 - (-5)/2 - 0

4/-2

slope = m = -2

We know the slope and coordinates, so we can plug those into the equation and find the y intercept, or b.

y = mx + b

-1 = -2(2) + b

-1 = -4 + b

3 = b

Now we know the slope and y intercept so we can put them into the equation to find the final equation, which is: y = -2x + 3