Question

1) Find the equation of the line with slope equal to 3 and passing through point (3, 4). Write the equation in slope-intercept form.

2)Find the equation of the line with m = ½ and passing through point (1, 2). Write the equation in slope intercept form.

Answer 1

1.
`y - y_1 = m(x - x_1)`

`y - 4 = 3(x - 3)`

`y - 4 = 3(x) - 3(3)`

`y - 4 = 3x - 9`

`y = 3x - 5`

2.
`y - y_1 = m(x - x_1)`

`y - 2 = (1)/(2)(x - 1)`

`y - 2 = (1)/(2)(x) - (1)/(2)(1)`

`y - 2 = (1)/(2)x - (1)/(2)`

`y = (1)/(2)x + 1(1)/(2)`