Question

Part1

Answer 1

Part 1.

The slope is found by the change in Y over the change in X.

In the picture they are finding the difference between the X and Y of each point. They have x1 - y1 over x2-y2, when it should be y2-y1 / x2 - x1.

Part 2:

Slope = Change in Y over change in X:

(4 - 6) / (0 - -2) = -2 / 2 = -1

Slope = -1

Using the point (0,4) tells you the Y-intercept, which is the Y value when x is 0. The Y intercept is added to the slope when writing the equation of a line in point slope form.

The equation is y = -x +4

Part 3:

Find two points on the line by replacing X with 0 and solving for Y and then replace Y with 0 and solve for X. This gives you the X and Y intercepts. Once you have those two points, put them on a graph and then draw a straight line through both dots.