What is the slope of -42x+6y=72?

Question

I need help

Answer 1

-42x+6y=72

 

The trick to finding the slope is to remember your general linear equation: y=mx+b

In this equation, m is the slope. So, for this problem you need to set everything equal to y.

 

Step 1: Add 42x to both sides of the equal sign. This causes 42x to cancel out -42x on the left side of the equal sign because 42x+(-42x)=0

 

-42x+6y=72

+42x       +42x

   0 +6y=42x+72 --> 6y=42x+72

 

Step 2: Divide 6 from both sides to get y alone. This will make your equation look more like the general linear equation form.

 

6y=42x+72

6         6

 

6y=42x+72

6     6      6

 

1y=7x+12 --> y=7x+12

 

Step 3: Compare what you have calculated with the general linear equation to get the slope.

 

y=mx+b

y=7x+12

 

m=slope=7

Answer 2

put the equation in the slope-intercept form, y=mx+b where m is the slope and b is the y-intercept

-42x+6y=72

6y=42x+72

divide all terms on both sides of the equation by 6

y=7x+12

the slope is 7 or 7/1(the slope is rise/run)