A line L1 cuts the y-axis at (0,5) and the x-axis at (−5,0). Another line L2 passes through the point (1,4) and is perpendicular to L1.
a. (i) Find the slope of L1.
b. (ii) Hence, determine the slope of L2.
c. (iii) Obtain the equation of L2 in slope–intercept form.
d. (iv) Rewrite the same equation in point–slope form using the point (1,4).
e. (v) Calculate the points where L2 meets the x-axis and the y-axis.