Choose the equation that represents a line that passes through points (−3, 2) and (2, 1).

1 answer:

8 0

Answer:

$y=-\frac{1}{5}x+\frac{7}{5}$

Step-by-step explanation:

The given line passes through points (−3, 2) and (2, 1).

We use the formula $m=\frac{y_2-y_1}{x_2-x_1}$ to find the slope of this line.

$\implies \frac{1-2}{2--3}=\frac{-1}{5}$

We use the point slope formula:

$y-y_1=m(x-x_1)$

$y-2=-\frac{1}{5}(x--3)$

$y-2=-\frac{1}{5}(x+3)$

We expand to get:

$y-2=-\frac{1}{5}x-\frac{3}{5}$

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

The slope intercept form of the line is:

$y=-\frac{1}{5}x+\frac{7}{5}$

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Kipish [7]

The required mixed number is $3\frac{5}{6}$ . The calculations are attached with the solution as an image.

What is a mixed number ?

A bit represented with its quotient and remainder is a mixed bit. For illustration,21/3 is a mixed bit, where 2 is the quotient, 1 is the remainder.
So, a mixed bit is a combination of a whole number and a proper bit. A mixed bit, also called a mixed number, is a whole number and a bit together.
The bit is written to the right of the whole number.
A mixed number is formed by combining three corridor a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper bit that makes the mixed number.