Question

I need an answer for the attachment below:

Answer 1

Answer:

$- \frac{ 1}{4}$

Step-by-step explanation:

The line passes through points ( - 1 , 2 ) and ( 3 , 1 )

Let there points be A and B

A ( -1 , 2 ) -----> ( x1 , y1 )

B ( 3 , 1 ) -------> ( x2 , y2 )

Now, Let's find the gradient ( slope)

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

plug the values

$= \frac{1 - 2}{3 - ( - 1)}$

Calculate the difference

$= \frac{ - 1}{3 - ( - 1)}$

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression

$= \frac{ - 1}{3 + 1}$

Add the numbers

$= \frac{ - 1}{4}$

Use $\frac{ - a}{b} = \frac{a}{ - b} = - \frac{a}{b}$ , to rewrite the fraction

$= - \frac{1}{4}$

Hope this helps...

Best regards!!