Give the slope-intercept form of the equation of the line that is perpendicular to 7x+3y=18 and contains P(6,8) With the explanation please :)

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the gradient and c is the y-intercept.

Given equation: 7x +3y= 18

Rewrite into slope-intercept form to find out its gradient:

7x +3y= 18

3y= -7x +18

Thus, gradient of given line is -7/3.

The product of the gradients of 2 perpendicular lines is -1.

(Gradient of line)(-7/3)= -1

Gradient of line

Substitute m= 3/7 into the equation:

To find the value of c, substitute a pair of coordinates.

Since the line contains P(6,8), we substitute x=6 and y=8 into the equation.

When x=6, y= 8,

Thus, the equation of the line is .

equal to

step-by-step explanation:

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