Answer:
[tex]3x+4y=12[/tex]
Step-by-step explanation:
First we need to the know standard form and slope-intercept form, both of which are: [tex]ax+by=c[/tex] (standard) & [tex]y=mx+b[/tex] (slope)
Since we are given two ordered pairs to work with, we can use them to find the slope of our line using the slope formula. y2 - y1 / x2 - x1
(0, 3) would be x1 and y1 while (4, 0) would be x2 and y2
As such: [tex]\frac{0-3}{4-0} =-\frac{3}{4}[/tex]
Now since our y-intercept is given to us, we can just plug it into "b" in our slope-intercept form equation. This would give us: [tex]y=-\frac{3}{4}x+3[/tex]
Now we need to convert this equation into standard form; remember the format as stated above!
First lets add [tex]\frac{3}{4}x[/tex] to the -3/4x in order to move it to the other side of the equation.
[tex]\frac{3}{4}x+y=3[/tex]
Now we need to multiply the entire equation by the reciprocal of 3/4, this would be 4/3; so we multiply the entire equation by 4!
[tex]3x+4y=12[/tex]
Huzzah! There is our answer!
Hope this helped! If you have any questions feel free to ask!
