Question

Find the slope of each line defined below and compare their values. Down-drop Less than, greater than, equal to.​

Answer 1

`\displaystyle equal\:to \\ Line\:B: 1 \\ Line\:A: -1`

Explanation:

Starting from the y-intercept of
`\displaystyle [0, -2],`you do
`\displaystyle (rise)/(run)`by either moving one block south over one block west or one block north over one block east [west and south are negatives].

Now, for Line A, we need to convert this Linear Standard Equation to Slope-Intercept Form,
`\displaystyle y = mx + b,`where the slope is represented by m:

x + y = 3

- x - x

__________

`\displaystyle y = -x + 3`

So, the slope of Line A is
`\displaystyle -1,`and since −1 is less than 1, less than would be the answer, HOWEVER, they BOTH have some slope of 1, so since −1 is the negative absolute value of 1, equal to will be the answer.

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