Question

A line has a slope of 3 and includes the points (-2,q) and (-3,2). What is the value of q

Answer 1

For this case we have that by definition, the slope of a line is given by:

`m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}`

Where:

`(x_ {1}, y_ {1})`and
`(x_ {2}, y_ {2})` are two points through which the line passes

According to the statement we have:

`m = 3\\(x_ {1}, y_ {1}): (- 2, q)\\(x_ {2}, y_ {2}): (- 3,2)`

Substituting we have:

`3 = \frac {2-q} {- 3 - (- 2)}\\3 = \frac {2-q} {- 3 + 2}\\3 = \frac {2-q} {- 1}\\-3 = 2-q\\-3-2 = -q\\-5 = -q\\q = 5`

Answer:

The value of q is 5