Question

A line intersects the points

(-2, 11) and (-1, 18).
What is the slope of the line in
simplest form?
m = [?]

Answer 1

So the question provided here is telling about a straight line which intersect two points. Let that two points be A(-2,11) and B(-1,18) respectively. So we've been asked to find out the slope (m) for the line.

Data provided is as follows:

• x1 = -2 and y1 = 11

• x2 = -1 and y2 = 18

• Slope (m) = ?

The standard formula for calculating slope is given by,

`\longrightarrow\sf{ (y2 - y1)/(x2 - x1) }`

Replacing the value of coordinates in given formula we'll get our final answer in simplest form

`\longrightarrow\sf{ (18 - 11)/( - 1 - ( - 2)) }`

`\longrightarrow\sf{ (18 - 11)/( - 1 + 2) }`

`\longrightarrow\sf{ (7)/(1) }`

`\longrightarrow\sf{7}`

• The slope of the given line is 7