What is an equation for the line with slope 2/3 and y-intercept 9?

Question

asked Oct 6, 2017 226k views

2 Answers

Shila Mosammami · Answer 1 · 2017-10-10T13:34:54+0000

Answer:

y=(2)/(3)x+9

Explanation:

We can describe a line using the following equation :

y=ax+b

Where ''a'' and ''b'' are real numbers.

In the equation, the number ''a'' is the slope of the line. If we want a line with slope
(2)/(3) ⇒

y=(2)/(3)x+b

The intersection of a line with the y-axis can be calculated replacing
x=0 in the equation ⇒

$y=((2)/(3)).(0)+b\\y=b$

The interception is the real number ''b''. We want that interception to be 9

⇒

y=(2)/(3)x+9 is the equation of the line with slope
(2)/(3) and that intersects the y-axis at the point
(0,9)