Question

write one way or representing the equation of the given line in point-slope form. then write the equation in slope-intercept form. (-2,4) (1,-1)

Answer 1

`y + 1 =-(5)/(3)(x-1)`

`y = -(5)/(3)x + (2)/(3)`

Explanation:

To write the equation of a line you need a point and a slope. Use the two points given to find the slope.

`m = (-1 - 4)/(1--2) = (-5)/(3)`

Substitute m = -5/3 and the point (1,-1) into the point slope form.

`y - y_1 = m(x-x_1)\\y --1 = -(5)/(3)(x-1)\\y + 1 =-(5)/(3)(x-1)`

Use the distributive property to convert to slope intercept form.

`y + 1 = -(5)/(3)x + (5)/(3)\\y = -(5)/(3)x + (5)/(3) - 1\\y = -(5)/(3)x + (2)/(3)`