Mathematics: Find the slope and y-intercept of -x + 2y = 3. I need help on working this problem out

y = -3x + 8 is the right answer...

Find the slope and y-intercept of -x + 2y = 3.

jimyyyy

18.01.2022

So the slope of this function is $\frac{1}{2}$ and the y-intercept is $\frac{3}{2}$

Step-by-step explanation:

A first order function has the following format:

y = ax + b

In which a is the slope and b is the y-intercept, that is, the value of y when x = 0.

We have the following equation:

-x + 2y = 3

We just have to rewrite this equation

2y = x + 3

$y = \frac{x+3}{2}$

$y = \frac{x}{2} + \frac{3}{2}$

Which means that

$a = \frac{1}{2}, b = \frac{3}{2}$

So the slope of this function is $\frac{1}{2}$ and the y-intercept is $\frac{3}{2}$

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