Question

How do you find slope, point slope, slope intercept, standard form, domain and range of a line for Line J (-3,4) (0,10)?

Answer 1

`"Slope " = 2, "Point - Slope form " y - 10 = 2x`

`"Slope - intercept form is " y = 2x + 10`

`"Standard form " 2x - y = -10`

`"Domain and Range " -oo to =oo`

Explanation:


`(x_1, y_1) = (-3,4), (x_2, y_2) = (0,10)`

`"1. Slope " m = (y_2 - y_1) / (x_2 - x_1) = (10-4) / (0 + 3) = 2`

`"2. Point - Slope form is " (y - y_1) = m (x - x_1)`

`(y - 10) = 2 * (x - 0) " or " y - 10 = 2x`

`"3. Slope - intercept form is " y = 2x + 10`

`"4. Standard form is " 2x - y = -10`

`"5. Domain is " - oo to +oo`

`"6. range is " - oo to +oo`