Answer:
Second equation Answer: [tex]y=-\frac{1}{2}x-1[/tex]
First equation Answer: [tex]y=-\frac{4}{3}x~+\frac{7}{3}[/tex]
Step-by-step explanation:
Concept:
The general equation of a line in slope-intercept form is given below as
[tex]y=mx+c[/tex]
where
[tex]m=slope[/tex]
[tex]c=intercept[/tex]
The first equation is given below as
[tex]4x+3y=7[/tex]
We will make y the subject of the formula to change the equation in slope-intercept form
[tex]4x+3y=7[/tex]
subtract 4x from both sides
[tex]4x-4x+3y=7=-4x[/tex]
[tex]3y=-4+7[/tex]
divide both sides by 3
[tex]\frac{3}{y} =\frac{-4x}{3} +\frac{7}{3}[/tex]
[tex]y=-\frac{4}{3}x~+\frac{7}{3}[/tex]
Hence,
The equation of 4x+3y=7 in slope intercept form is given below as
[tex]y=-\frac{4}{3}x~+\frac{7}{3}[/tex]The second equation is given below as
[tex]x+2y=-2[/tex]Subtract x from both sides[tex]x-x+2y=-2-x[/tex][tex]2y=-x-2[/tex]divide through by 2[tex]\frac{2y}{2} =-\frac{x}{2} =-\frac{2}{2}[/tex][tex]y=-\frac{1}{2}x-1[/tex]Hence,
The equation of x+2y=-2 in slope-intercept form is
[tex]y=-\frac{1}{2}x-1[/tex]Hope this Helps! <3AshTheNeko