What is the slope of the line through (1,0) and (3,8) ? Choose 1 answer: (A) 4 (B) -4 (c) -(1)/(4) (D) (1)/(4)

Identify slope formula: Identify the slope formula. The slope of a line is calculated by the change in y divided by the change in x, which is (y_2 - y_1)/(x_2 - x_1).Substitute given points: Substitute the given points into the slope formula. We have the points (1, 0) and (3, 8). Let's assign these values to the formula: x_1 = 1, y_1 = 0, x_2 = 3, and y_2 = 8. Slope: (8 - 0) / (3 - 1)Calculate change in y: Calculate the change in y. 8 - 0 equals 8.Calculate change in x: Calculate the change in x. 3 - 1 equals 2.Calculate slope: Calculate the slope. Now we divide the change in y by the change in x to find the slope. Slope = 8 / 2Simplify fraction: Simplify the fraction to find the slope. 8 / 2 equals 4.

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What is the slope of the line through
(1,0) and
(3,8) ?
Choose 1 answer:
(A) 4
(B) -4
(c)
-(1)/(4)
(D)
(1)/(4)

What is the slope of the line through $(1,0)$ and $(3,8)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $4$ $\newline$ (B) $-4$ $\newline$ (C) $-\frac{1}{4}$ $\newline$ (D) $\frac{1}{4}$

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Math Problems

Algebra 1

Find the slope from two points

Full solution

Q. What is the slope of the line through

(1,0)

and

(3,8)

\newline

Choose

1

answer:

\newline

(A)

4

\newline

(B)

-4

\newline

(C)

-\frac{1}{4}

\newline

(D)

\frac{1}{4}

Identify slope formula: Identify the slope formula. $\newline$ The slope of a line is calculated by the change in $y$ divided by the change in $x$ , which is $(y_2 - y_1)/(x_2 - x_1)$ .
Substitute given points: Substitute the given points into the slope formula. $\newline$ We have the points $(1, 0)$ and $(3, 8)$ . Let's assign these values to the formula: $x_1 = 1$ , $y_1 = 0$ , $x_2 = 3$ , and $y_2 = 8$ . $\newline$ Slope: $(8 - 0) / (3 - 1)$
Calculate change in y: Calculate the change in $y$ . $8 - 0 = 8$ .
Calculate change in x: Calculate the change in $x$ . $3 - 1$ equals $2$ .
Calculate slope: Calculate the slope. $\newline$ Now we divide the change in $y$ by the change in $x$ to find the slope. $\newline$ Slope = $\frac{8}{2}$
Simplify fraction: Simplify the fraction to find the slope. $\frac{8}{2}$ equals $4$ .