Question

Pleeeeeeeeeease

I really need help and an explanation
1) make the line
2) find slope
3) make equation

Answer 1

The final equation is
`y = (4)/(3)x - (16)/(3)`

Explanation:

The slope of the line CB where, C(0,3) and B(12,-6) will be

`M = (- 6 - 3)/(12 - 0) = - (3)/(4)`

Now, if the line perpendicular to the line CB has slope N, then M × N = - 1

⇒
`N = (4)/(3)` {Since
`M = - (3)/(4)`}

Now, equation of the straight lines which are perpendicular to CB will be in slope-intercept form

`y = (4)/(3)x + c` {Where, c is the y-intercept}

If this straight line passes through the point (7,4), then

`4 = (4)/(3) * 7 + c`

⇒ 12 = 28 + 3c

⇒ 3c = - 16

⇒
`c = - (16)/(3)`

Therefore, the final equation is
`y = (4)/(3)x - (16)/(3)` (Answer)