Look at the graph

(0,5) (3,3) (6,1)

what is the y-intercept

what is the slope?

what is the equation of the line in slope-intercept form?

this is a _ relationship

1 answer

To find the y-intercept, we need to find the value of y when x is equal to 0. Looking at the coordinates given, we can see that when x is 0, y is 5. Therefore, the y-intercept is 5.

To find the slope, we can use the formula: slope = (change in y) / (change in x). Using the coordinates (0,5) and (3,3), we can calculate the slope as follows:

slope = (3 - 5) / (3 - 0)
= -2 / 3
= -2/3

Therefore, the slope is -2/3.

The equation of the line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Based on the values found, we can write the equation as follows:

y = (-2/3)x + 5

This is a negative relationship because the slope is negative.
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