Question

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

Answer 1

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]}