how do you find point-slope form?

Question

i have the numbers for A, B, C, , X-intercept, Y-intercept, standard form, slope-intercept form...A=4, B=-3, C=2, X-intercept=(.5,0),Y-intercept=(0,.66), slope-intercept form=y=4/3x+2/3

i have the numbers for A, B, C, , X-intercept, Y-intercept, standard form, slope-intercept form...A=4, B=-3, C=2, X-intercept=(.5,0),Y-intercept=(0,.66), slope-intercept form=y=4/3x+2/3
but my teacher told us that y=4/3x+2/3 is the slope=intercept form

the eqation is y2-y1=m(x2-x1)

how do i find M?

Answer 1

Point-Slope Formula is normally used when you have a given set of coordinates (a,b):

y – b = m(x – a)

Now, in your case:

Ax + By + C = 0

Plug in your Numbers for A, B, and C and you'll get:

4x - 3y +2 = 0

Now, solve for y:

3y = 4x + 2

y = (4/3)x + 2/3

Voilá! Hope it helped! :-)

Answer 2

Ax + By +C = 0
4x -3y +2 = 0
3y = 4x + 2
y = 4x/3 + 2/3