Answer:
[tex]y=\frac{2}{3}x+\frac{2}{3}[/tex]
Step-by-step explanation:
The standard equation of a straight line is of the form:
[tex]y=mx+c[/tex]
We have to convert the given equation into above form.
Simplifying the given equation:
[tex]y=\frac{2}{3}x+\frac{14}{3}-4[/tex]
[tex]=\frac{2}{3}x+\frac{(14-12)}{3}[/tex]
[tex]=\frac{2}{3}x+\frac{2}{3}[/tex].- This is in standard form
where [tex]m=c=\frac{2}{3}[/tex]
Answer:
[tex]\[y = \frac{2}{3}x + \frac{2}{3}\][/tex]
Step-by-step explanation:
Given equation:
[tex]\[y + 4 = 2/3 (x+7)\][/tex] ------------------------ (1)
Standard form of the equation:
[tex]\[y = mx + c\][/tex] --------------------------------- (2)
where m is the slope and c is the intercept.
Simplifying equation 1 in the format represented by 2:
[tex]\[y + 4 = 2/3 x+7)\][/tex]
=> [tex]\[y + 4 = \frac{2}{3}x + \frac{14}{3}\][/tex]
=> [tex]\[y = \frac{2}{3}x + \frac{14}{3} - 4\][/tex]
=> [tex]\[y = \frac{2}{3}x + \frac{2}{3}\][/tex]
