What is the slope intercept form of the line passing through (24,6) with a slope of 3/2 ?

2 Answers
Feb 29, 2016

3x-2y-60=0

Explanation:

Equation of line passing through a point (x_1,y_1) and having a slope of m in point-slope form is given by (y-y_1)=m)x-x_1)

Hence equation of line passing through (24,6) and having slope 3/2 will be

(y-6)=(3/2)xx(x-24) or 2(y-6)=3x-72 or

3x-2y-60=0

Feb 29, 2016

The equation is y = (3/2)x -30

Explanation:

The equation is of the form

y = mx + c
Where
m is the slope of the line (given as 3/2)
and c is the slope intercept

Substituting in the values from the question
6=(3/2).24 + c

simplifying
6=36 +c

c = -30

The equation is y = (3/2)x -30