On a set of graph paper the x-axis is scaled so that 1 unit equals 2 cm while the y-axis retains the usual scale of 1 unit per 1 cm. A straight line is observed to pass through the points A(−3,7) and B(5,−2).
(i) Taking into account the different scales on the two axes, calculate the true slope of the line.
(ii) Using your result from part (i), obtain the equation of the line in slope–intercept form.
(iii) Find the y-intercept of the line.
(iv) Express the equation again in point–slope form using the point A(−3,7).
(v) Verify whether the point (13,−11) lies on this line.