How do you solve these math problems?

Question

Give the slope-intercept form of the following line:  4 x − 3 y  =  − 7? 

a) y  =  -4⁄3 · x  +  7⁄3 

b) y  =  4⁄3 · x  −  7⁄3 


c) y  =  -3⁄4 · x  −  7⁄4 


d) y  =  -3⁄4 · x  +  7⁄4 


e) y  =  4⁄3 · x  +  7⁄3 


f) None of the above. 

2) Find the slope and the  y-intercept of the following line: − 4 x − 3 y  =  − 5 

a) Slope: -4⁄3 ; y-intercept: ( 0 , − 5 ) 


b) Slope: 4⁄3 ; y-intercept: ( 0 , 5⁄3 ) 


c) Slope: 4⁄3 ; y-intercept: ( 5⁄3 , 0 ) 


d) Slope: -4⁄3 ; y-intercept: ( 0 , 5⁄3 ) 


e) Slope: -4⁄3 ; y-intercept: ( 5⁄3 , 0 ) 


f) None of the above.

Answer 1

1.

Slope intercepr form line eqyation is y =mx + b, where m is slope and b is y-intercept.

The line equation is 4x - 3y = -7

Subtract 4x from each side

-3y = -4x - 7

Divide each side by -3

y = 4/3x + 7/3

Option e is correct choice

Answer 2

2.

Slope intercepr form line eqyation is y =mx + b, where m is slope and b is y-intercept.

The line equation is - 4x - 3y = -5

Add 4x to each side

-3y = 4x - 5

Divide each side by -3

y = -4/3x + 5/3

Compare the equatioon with slope-intercept form equation.

slope = -4/3

and y-intercept = b = 5/3 = (0, 5/3)

Option d is right choice