Question

Determine the slope-intercept equation of a line with a slope of 3/2 that passes through (2, -1).

Answer 1

`\orange{ \bold{y = (3)/(2)x -4 }}`

Explanation:

Slope of line (m) =
`(3)/(2)`

Line passes through the points
`(2,\:-1)=(x_1, \:y_1)`

Equation of line in point slope form is given as:

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

Plug the values of m,
`x_1\: \&\: y_1` in the above equation, we find:

`y - ( - 1) = (3)/(2) (x - 2) \\ \\ y + 1 = (3)/(2)x - (3)/(2) * 2 \\ \\ y + 1 = (3)/(2)x -3 \\ \\ y = (3)/(2)x -3 - 1 \\ \\ \purple{ \bold{y = (3)/(2)x -4 }}\\ \\`

This is the required equation of line in slope-intercept form.