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

Answer:

$y + 1 =-\frac{5}{3}(x-1)$

$y = -\frac{5}{3}x + \frac{2}{3}$

Step-by-step explanation:

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

$m = \frac{-1 - 4}{1--2} = \frac{-5}{3}$

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

$y - y_1 = m(x-x_1)\\y --1 = -\frac{5}{3}(x-1)\\y + 1 =-\frac{5}{3}(x-1)$

Use the distributive property to convert to slope intercept form.

$y + 1 = -\frac{5}{3}x + \frac{5}{3}\\y = -\frac{5}{3}x + \frac{5}{3} - 1\\y = -\frac{5}{3}x + \frac{2}{3}$