Question

Express the line passing through the points A(6,-2) and B(-2,8) in y=mx+b form ​

Answer 1

Explanation:

You first need to find the slope using the slope formula:

`m=(y_(2)-y_(1)  )/(x_(2)-x_(1)  )`

For us,

`m=(8-(-2))/(-2-6)=(10)/(-8)=-(5)/(4)`

Now we have the m value. Choose one of the points you were given to write the equation. I am going to use (6, -2) and plug into the slope-intercept form and then solve for y:

`y-(-2)=-(5)/(4)(x-6)` which simplifies a bit to

`y+2=-(5)/(4)x+(30)/(4)`

Now subtract 2 from both sides, expressing 2 as a fraction with a denominator of 4:

`y=-(5)/(4)x+(30)/(4)-(8)/(4)` which simplifies finally to

`y=-(5)/(4)x+(11)/(2)`