Question

If two points on line l above have coordinates (0, A) and (2, −3), and the slope of the line is A, then what is the value of A?

Answer 1

ANSWER:

If two points on line l above have coordinates (0, A) and (2, −3), then the value of A is -1

SOLUTION:

Given, two points on line l have coordinates (0, A) and (2, −3),

And the slope of the line is A,

We need to find a value.

We know that, slope of a line on which (x1, y1) and (x2, y2) are two points is given by

$\mathrm{m}=\frac{y_{2}-y_{1}}{\mathrm{x}_{2}-\mathrm{x}_{1}}$

Here,in our problem,

$\mathrm{m}=\mathrm{A}, \mathrm{x}_{2}=2, \mathrm{x}_{1}=0, \mathrm{y}_{2}=-3 \text { and } \mathrm{y}_{1}=\mathrm{A}$

now, substitute the values in formula we get

$\begin{array}{l}{A=\frac{-3-A}{2-0}} \\\\ {A=\frac{-3-A}{2}}\end{array}$

2A = -3 –A

2A+ A = -3

3A = -3

A = -1

Hence, the value of A is -1.