QuestionCalculate the slope of the line through points $(4,7)$ and $(8,10)$ . State if it's vertical or horizontal if applicable.

Studdy Solution

STEP 1

Assumptions1. We have two points in the-dimensional plane, $(4,7)$ and $(8,10)$ . . The slope of a line passing through two points $(x1, y1)$ and $(x, y)$ is given by the formula $lope = \frac{y - y1}{x - x1}$

STEP 2

Identify the coordinates of the two points. Let $(4,7)$ be $(x1, y1)$ and $(8,10)$ be $(x2, y2)$ .

STEP 3

Substitute the coordinates of the two points into the slope formula.
$lope = \frac{10 -7}{8 -}$

STEP 4

Calculate the difference in the y-coordinates (the numerator of the fraction).
$10 -7 =3$

STEP 5

Calculate the difference in the x-coordinates (the denominator of the fraction).
$8 -4 =4$

STEP 6

Substitute these values back into the slope formula.
$lope = \frac{3}{4}$ So, the slope of the line passing through the points $(4,)$ and $(8,10)$ is $\frac{3}{4}$ .

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QuestionCalculate the slope of the line through points $(4,7)$ and $(8,10)$ . State if it's vertical or horizontal if applicable.

Studdy Solution

STEP 1

Assumptions1. We have two points in the-dimensional plane, $(4,7)$ and $(8,10)$ . . The slope of a line passing through two points $(x1, y1)$ and $(x, y)$ is given by the formula $lope = \frac{y - y1}{x - x1}$

STEP 2

Identify the coordinates of the two points. Let $(4,7)$ be $(x1, y1)$ and $(8,10)$ be $(x2, y2)$ .

STEP 3

Substitute the coordinates of the two points into the slope formula.
$lope = \frac{10 -7}{8 -}$

STEP 4

Calculate the difference in the y-coordinates (the numerator of the fraction).
$10 -7 =3$

STEP 5

Calculate the difference in the x-coordinates (the denominator of the fraction).
$8 -4 =4$

STEP 6

Substitute these values back into the slope formula.
$lope = \frac{3}{4}$ So, the slope of the line passing through the points $(4,)$ and $(8,10)$ is $\frac{3}{4}$ .

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QuestionCalculate the slope of the line through points (4,7)(4,7)(4,7) and (8,10)(8,10)(8,10). State if it's vertical or horizontal if applicable.

Studdy Solution

STEP 1

Assumptions1. We have two points in the-dimensional plane, (4,7)(4,7)(4,7) and (8,10)(8,10)(8,10). . The slope of a line passing through two points (x1,y1)(x1, y1)(x1,y1) and (x,y)(x, y)(x,y) is given by the formulalope=y−y1x−x1lope = \frac{y - y1}{x - x1}lope=x−x1y−y1​

STEP 2

Identify the coordinates of the two points. Let (4,7)(4,7)(4,7) be (x1,y1)(x1, y1)(x1,y1) and (8,10)(8,10)(8,10) be (x2,y2)(x2, y2)(x2,y2).

STEP 3

Substitute the coordinates of the two points into the slope formula.lope=10−78−lope = \frac{10 -7}{8 -}lope=8−10−7​

STEP 4

Calculate the difference in the y-coordinates (the numerator of the fraction).10−7=310 -7 =310−7=3

STEP 5

Calculate the difference in the x-coordinates (the denominator of the fraction).8−4=48 -4 =48−4=4

STEP 6

Substitute these values back into the slope formula.lope=34lope = \frac{3}{4}lope=43​So, the slope of the line passing through the points (4,)(4,)(4,) and (8,10)(8,10)(8,10) is 34\frac{3}{4}43​.

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QuestionCalculate the slope of the line through points $(4,7)$ and $(8,10)$ . State if it's vertical or horizontal if applicable.

Assumptions1. We have two points in the-dimensional plane, $(4,7)$ and $(8,10)$ . . The slope of a line passing through two points $(x1, y1)$ and $(x, y)$ is given by the formula $lope = \frac{y - y1}{x - x1}$

Identify the coordinates of the two points. Let $(4,7)$ be $(x1, y1)$ and $(8,10)$ be $(x2, y2)$ .

Substitute the coordinates of the two points into the slope formula.
$lope = \frac{10 -7}{8 -}$

Calculate the difference in the y-coordinates (the numerator of the fraction).
$10 -7 =3$

Calculate the difference in the x-coordinates (the denominator of the fraction).
$8 -4 =4$

Substitute these values back into the slope formula.
$lope = \frac{3}{4}$ So, the slope of the line passing through the points $(4,)$ and $(8,10)$ is $\frac{3}{4}$ .