Question

Use the image to answer the question.

An illustration shows a coordinate plane with four quadrants. The x and y axes extend from negative 10 to 10 in increments of 1. Two points are plotted on the graph. An upward slanting line connects the two points. Point A is plotted at coordinates left parenthesis 0 comma 6 right parenthesis. Point B is plotted at left parenthesis negative 2 comma 2 right parenthesis.

Identify the slope and y -intercept of the line. Provide the most simplified form of the slope.

Answer 1

The slope of the line can be calculated using the formula:

m = (y2 - y1) / (x2 - x1)

Where Point A is (0, 6) and Point B is (-2, 2):

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

So the slope of the line is 2.

To determine the y-intercept, we can use the formula for the equation of a line in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.

Using Point A (0,6) to solve for b:
6 = 2(0) + b
b = 6

Therefore, the y-intercept of the line is 6.