How do you find the slope and y intercept of #4x-6y+3=0#?

1 Answer
Apr 18, 2016

Answer:

slope # = 2/3 #
y-intercept #= 1/2#

Explanation:

The equation of a line in the form #color(red)(|bar(ul(color(white)(a/a)color(black)( y = mx + c )color(white)(a/a)|)))#
where m represents the slope and c, the y-intercept.
is useful in that we can extract slope and y-intercept 'easily'

Rearranging 4x - 6y + 3 = 0 , into this form will allow us to do that.

move 4x and +3 to the right side ,remembering to change their signs.

hence: -6y = -4x-3 , and dividing both sides by -6

# (cancel(-6) y)/cancel(-6) = (-4)/(-6) x + (-3)/(-6) #

#rArr y = 2/3 x + 1/2 #

#rArr m = 2/3 " and " c = 1/2 #
graph{2/3x+1/2 [-10, 10, -5, 5]}