Question

Write this equation in standard form y + 4 = 2/3 (x+7)

Answer 1

Answer:

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

Step-by-step explanation:

Given equation:

$\[y + 4 = 2/3 (x+7)\]$  ------------------------ (1)

Standard form of the equation:

$\[y = mx + c\]$ --------------------------------- (2)

where m is the slope and c is the intercept.

Simplifying equation 1 in the format represented by 2:

$\[y + 4 = 2/3 x+7)\]$

=> $\[y + 4 = \frac{2}{3}x + \frac{14}{3}\]$

=> $\[y = \frac{2}{3}x + \frac{14}{3} - 4\]$

=> $\[y = \frac{2}{3}x + \frac{2}{3}\]$

Answer 2

Answer:

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

Step-by-step explanation:

The standard equation of a straight line is of the form:

$y=mx+c$

We have to convert the given equation into above form.

Simplifying the given equation:

$y=\frac{2}{3}x+\frac{14}{3}-4$

         $=\frac{2}{3}x+\frac{(14-12)}{3}$

        $=\frac{2}{3}x+\frac{2}{3}$.- This is in standard form

where $m=c=\frac{2}{3}$