Complete the point-slope equation of the line through (1,-1) and (5,2). Use exact numbers. y-(-1)=◻

Calculate slope using two points: Calculate the slope (m) of the line using the two given points (1,-1) and (5,2). The slope formula is m = (y2 - y1) / (x2 - x1). Using the points (1,-1) and (5,2), we have: m = (2 - (-1)) / (5 - 1) m = (2 + 1) / (4) m = 3 / 4Use slope formula: Use the point-slope form of the equation of a line, which is 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 given, but let's use the point (1,-1). So, substituting the slope m = 3/4 and the point (1,-1) into the equation, we get: y - (-1) = (3/4)(x - 1)

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Complete the point-slope equation of the line through
(1,-1) and
(5,2).
Use exact numbers.

y-(-1)=◻

Complete the point-slope equation of the line through $(1,-1)$ and $(5,2)$ . $\newline$ Use exact numbers. $\newline$ $y-(-1)=\square$

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Math Problems

Grade 8

Write a linear equation from two points

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

(1,-1)

and

(5,2)

\newline

Use exact numbers.

\newline

y-(-1)=\square

Calculate slope using two points: Calculate the slope $m$ of the line using the two given points $(1,-1)$ and $(5,2)$ . The slope formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$ . Using the points $(1,-1)$ and $(5,2)$ , we have: $m = \frac{2 - (-1)}{5 - 1}$ $m = \frac{2 + 1}{4}$ $m = \frac{3}{4}$
Use slope formula: Use the point-slope form of the equation of a line, which is $y - y_1 = m(x - x_1)$ , where $m$ is the slope and $(x_1, y_1)$ is a point on the line. $\newline$ We can use either of the two points given, but let's use the point $(1,-1)$ . $\newline$ So, substituting the slope $m = \frac{3}{4}$ and the point $(1,-1)$ into the equation, we get: $\newline$ $y - (-1) = \left(\frac{3}{4}\right)(x - 1)$