Complete the point-slope equation of the line through (8,-8) and (9,8). Use exact numbers. y-8=

Calculate Slope: To find the point-slope form of the equation of the line, we first need to calculate the slope of the line using the two given points (8, -8) and (9, 8). The slope (m) is given by the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. Calculation: m = (8 - (-8)) / (9 - 8) = 16 / 1 = 16Write Point-Slope Form: Now that we have the slope, we can use one of the points and the slope to write the point-slope form of the equation. The point-slope form is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. We can use either of the two points, but let's use the point (9, 8) for this example. Calculation: y - 8 = 16(x - 9)Final Equation: The equation y - 8 = 16(x - 9) is now in point-slope form, using the point (9, 8) and the slope 16. This is the final answer.

Home

Math Problems

Algebra 2

Find the roots of factored polynomials

Full solution

Q. Complete the point-slope equation of the line through

(8,-8)

and

(9,8)

\newline

Use exact numbers.

\newline

y-8=

Calculate Slope: To find the point-slope form of the equation of the line, we first need to calculate the slope of the line using the two given points $(8, -8)$ and $(9, 8)$ . The slope $(m)$ is given by the formula $m = \frac{(y_2 - y_1)}{(x_2 - x_1)}$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are the coordinates of the two points. $\newline$ Calculation: $m = \frac{(8 - (-8))}{(9 - 8)} = \frac{16}{1} = 16$
Write Point-Slope Form: Now that we have the slope, we can use one of the points and the slope to write the point-slope form of the equation. The point-slope form is given by $y - y_1 = m(x - x_1)$ , where $m$ is the slope and $(x_1, y_1)$ is a point on the line. We can use either of the two points, but let's use the point $(9, 8)$ for this example. $\newline$ Calculation: $y - 8 = 16(x - 9)$
Final Equation: The equation $y - 8 = 16(x - 9)$ is now in point-slope form, using the point $(9, 8)$ and the slope $16$ . This is the final answer.