Find the equation of the line through (1, 3) and making an intercept of 5 on the y-axis.

When y-intercept = 5; corresponding point on the y-axis = (0, 5). Slope of the line through (0, 5) and (1, 3) = . By point-slope form, ⇒ y - y 1 = m(x - x 1 ) ⇒ y - 5 = -2(x - 0) ⇒ y - 5 = -2x ⇒ 2x + y = 5. Hence, equation of line is 2x + y = 5.