Question

Write the equation of the line perpendicular to 2x - 5y = -12 that passes through the point

(10,-1) in slope-intercept form.

Answer 1

`y=-(5)/(2)x+24.`

Explanation:

all the details are in the attachment, step-by-step short explanation:

1) re-write the given equation of the line;

2) to find the normal of the given equation;

3) to calculate the normal of the required equation of the line (based on the perpendicular rule);

4) to write the required equation of the line (the value of 'C' is unknown);

5) in order to calculate the value of 'C' to substitute the coordinates (10;-1) into the required equation of the line;

6) to make up the required equation of the line in common form;

7) to write the required equation of the line in slope-interception form.