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,

$\longrightarrow\sf{ \frac{y2 - y1}{x2 - x1} }$

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

$\longrightarrow\sf{ \frac{18 - 11}{ - 1 - ( - 2)} }$

$\longrightarrow\sf{ \frac{18 - 11}{ - 1 + 2} }$

$\longrightarrow\sf{ \frac{7}{1} }$

$\longrightarrow\sf{7}$

• The slope of the given line is 7