Question

Find the slope of the line that passes through (7,2) and (9,5)

Answer 1

Answer: The slope of the line that passes through (7,2) and (9,5) is 1.5.

Explanation:

The slope of a line is given by the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are two points on the line.

Substituting the coordinates of the given points, we get:

m = (5 - 2) / (9 - 7) = 3 / 2 = 1.5

Therefore, the slope of the line that passes through (7,2) and (9,5) is 1.5.

Answer 2

`\sf Slope=(3)/(2)`

Explanation:

`\boxed{\begin{minipage}{8cm}\underline{Slope Formula}\\\\Slope $(m)=(y_2-y_1)/(x_2-x_1)$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.\\\end{minipage}}`

Given points:

• Let (x₁, y₁) = (7, 2)
• Let (x₂, y₂) = (9, 5)

Substitute the given points into the slope formula:

`\implies \textsf{Slope}=(5-2)/(9-7)=(3)/(2)`

Therefore, the slope of the line that passes through (7, 2) and (9, 5) is:

• 
  `(3)/(2)`