Question

What is the slope of the line that passes through (-2, 7) and (4, 9)? slope = - slope = slope = 3

Answer 1

SOLVING

`\Large\maltese\underline{\textsf{A. What is Asked}}`

What is the slope of the line that passes through (-2,7) and (4,9)?

`\Large\maltese\underline{\textsf{B. This problem has been solved!}}`

Formula utilised here,
`\bf{(y2-y1)/(x2-x1)}`.

Put in the values:

`\bf{(9-7)/(4-(-2))}` | subtract on top & bottom

`\bf{(2)/(4+2)}` | simplify

`\bf{(2)/(6)}` | reduce

`\bf{(1)/(3)}`

`\cline{1-2}`

`\bf{Result:}`

`\bf{=Slope, S=(1)/(3)}`

`\LARGE\boxed{\bf{aesthetics \\ot1 \theta l}}`

Answer 2

The slope is
`m=(1)/(3)`

Explanation:

we know that

The formula to calculate the slope between two points is equal to

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

we have the points

(-2, 7) and (4, 9)

substitute the values in the formula

`m=(9-7)/(4+2)`

`m=(2)/(6)`

Simplify

`m=(1)/(3)`