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Question 14 (2 points)
Find the slope and
y-intercept of the line through the points:

(2,-8) and
(1,-2)
slope
=

y-intercept
=

Show instructions $\newline$ Question $14$ ( $2$ points) $\newline$ Find the slope and $y$ -intercept of the line through the points: $\newline$ $(2,-8)$ and $(1,-2)$ $\newline$ slope $=$ $\newline$ $y$ -intercept $=$

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Evaluate variable expressions for sequences

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Q. Show instructions

\newline

Question

14

(

2

points)

\newline

Find the slope and

y

-intercept of the line through the points:

\newline

(2,-8)

and

(1,-2)

\newline

slope

=

\newline

y

-intercept

=

Calculate Slope: To find the slope $m$ of the line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ , we use the slope formula: $\newline$ $m = \frac{y_2 - y_1}{x_2 - x_1}$ $\newline$ Let's plug in the values from the points $(2, -8)$ and $(1, -2)$ . $\newline$ $m = \frac{-2 - (-8)}{1 - 2}$
Simplify Slope Calculation: Simplify the calculation for the slope. $\newline$ $m = (-2 + 8) / (1 - 2)$ $\newline$ $m = 6 / -1$ $\newline$ $m = -6$ $\newline$ The slope of the line is $-6$ .
Calculate Y-Intercept: To find the y-intercept $b$ , we can use the slope-intercept form of a line, which is $y = mx + b$ . We can use either of the two points for this calculation. Let's use the point $(2, -8)$ . $\newline$ $-8 = (-6)(2) + b$
Solve for Y-Intercept: Solve for $b$ , the y-intercept. $\newline$ $-8 = -12 + b$ $\newline$ $b = -8 + 12$ $\newline$ $b = 4$ $\newline$ The y-intercept of the line is $4$ .

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