Find the slope and y-intercept of the line through the points: (2,-8) and (1,-2) slope = y-intercept =

Calculate Slope: To find the slope (m) of the line passing through two points (x1, y1) and (x2, y2), we use the slope formula: m = (y2 - y1) / (x2 - x1) Let's plug in the values from the points (2, -8) and (1, -2). m = (-2 - (-8)) / (1 - 2)Simplify Slope Calculation: Simplify the calculation for the slope. m = (-2 + 8) / (1 - 2) m = 6 / -1 m = -6 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). -8 = (-6)(2) + bSolve for Y-Intercept: Solve for b, the y-intercept. -8 = -12 + b b = -8 + 12 b = 4 The y-intercept of the line is 4.

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Find the slope and y-intercept of the line through the points:
(2,-8) and (1,-2)
slope =
y-intercept =

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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Grade 8

Evaluate variable expressions for sequences

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Q. 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 $4$ .