Question

1) A line with gradient 2 passes through (0, 4). Write down the equation of the line.

2)The line y = 4x + c passes through (1, 1). Find the equation of the line.​

Answer 1

For the attached image, note that slope is the same thing as gradient.

1) y = 2x + 4

2) Substituting in x = 1 and y = 1,

1 = 4(1) + c

1 = 4 + c

c = -3

So, the equation is y = 4x - 3