Question

Question 4
The slope of the line joining points (3; 2) and (0; a) is -1. Determine the value of a.
[1] a = -5
[2] a = -1
[3] a = 1
[4] a = 5​

Answer 1

Answer:

answer is 1<=y<=1000 please send me

Answer 2

The value of a is 5. (option 4).

• The slope of a line joining two points $(x_1,x_2)$ and $(y_1,y_2)$ is given by,${\rm slope}=\frac{y_2-y_1}{x_2-x_1}$. The slope is also equal to $tan\theta$. But here we don't need $tan\theta$.
• Substitute $x_1=3,\,x_2=0,\,y_1=2,\,y_2=a$ into the formula of slope and simplify.

        $\frac{a-2}{0-3}=\frac{a-2}{-3}$

• Equate the obtained equation of the slope tp -1 and find the value of a.

        $\frac{a-2}{-3}=-1\\a-2=3\\a=2+3\\=5$

• Thus, the value of a is 5.