Determine the equation of a line that has the same x-intercept as the line x+4y−1=0 and the same y-intercept as the line 4x−5y−10=0

Question

(2 marks for finding x-intercept, 2 marks for finding y-intercept, 1 mark for finding slope, 1 mark for creating equation)

Answer 1

x-intercept of first line is (1, 0) and y-intercept of second line is (0, - 2).

Slope m of line pathing through these points m = 2/1 = 2 and it's equation is y = 2x - 2