Consider the two lines L1:2x+5y−7=0 and L2:5x−2y+9=0. Answer the following questions.
(i) Convert L1 to slope-intercept form and write its slope.
(ii) Convert L2 to slope-intercept form and write its slope.
(iii) Prove that L1 and L2 are perpendicular to each other.
(iv) Find the coordinates of the point of intersection of L1 and L2.
(v) Obtain the equation, in general form, of the line that passes through the intersection point found in part (iv) and is parallel to L1. Show every step clearly.