Question

Write the equation of the given line in slope intercept form (-1, 2) (1, -4)

Answer 1

y = -3x - 1 is the equation of the given line in slope intercept form (-1, 2) (1, -4)

Solution:

The slope intercept form is given as:

y = mx + c ---- eqn 1

Where, "m" is the slope of line and "c" is the y intercept

Find the slope of line

$m = \frac{y_2-y_1}{x_2-x_1}$

From given,

$(x_1, y_1) = (-1, 2)\\\\(x_2, y_2) = (1, -4)$

Therefore,

$m = \frac{-4-2}{1+1}\\\\m = \frac{-6}{2}\\\\m = -3$

Substitute m = -3 and (x, y) = (-1, 2) in eqn 1

2 = -3(-1) + c

2 = 3 + c

c = -1

Substitute m = -3 and c = 1 in eqn 1

y = -3x - 1

Thus the equation of line in slope intercept form is found