Question

find the equation of the line whose slope is ⅔ and Y- intercept of 4

Answer 1

hello. glad to help
so the answer.
there are mainly 4 types in which we can write the equation of line.
as per the question. slope intercept form is more suitable. so the equation of the line can be written as.
y=mx+C
where C is Y intercept.
so our answer will be
y=2/3 x +4.
thanks m

Answer 2

Given : Slope of a line is 2/3 and it's y intercept is 4.

To find : The equation of straight line

Solution :-

In general, the equation of the straight line whose y intercept is c and has a slope m is:

• y = mx + c

Therefore, by substituting the known values of slope and y intercept, we get the following results:

⇒ y = mx + c

⇒ y = 2x/3 + 4

⇒ 3y = 2x + 12

⇒ 2x - 3y + 12 = 0

Hence this is the required equation.

Additional Information:

The equation of a straight line which has x intercept equals to d and has a slope of m is given by:

• y = m(x - d)

The equation of a straight line which has x and y intercept as a and b respectively is given by:

• x/a + y/b = 1

The equation of a straight line which passes through (x1, y1) and has a slope of m is given by:

• (y - y1) = m(x - x1)