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
[tex]\mathrm{m}=\frac{y_{2}-y_{1}}{\mathrm{x}_{2}-\mathrm{x}_{1}}[/tex]
Here,in our problem,
[tex]\mathrm{m}=\mathrm{A}, \mathrm{x}_{2}=2, \mathrm{x}_{1}=0, \mathrm{y}_{2}=-3 \text { and } \mathrm{y}_{1}=\mathrm{A}[/tex]
now, substitute the values in formula we get
[tex]\begin{array}{l}{A=\frac{-3-A}{2-0}} \\\\ {A=\frac{-3-A}{2}}\end{array}[/tex]
2A = -3 –A
2A+ A = -3
3A = -3
A = -1
Hence, the value of A is -1.
