Question

Write the equation of the line with slope -5 and passing through the point (-3, 4)

in point-slope form, y - yi = m(x – 21)
Next, solve for y and write the equation of the line in slope-intercept form.

Answer 1

a) y -4 = -5 (x + 3) is the equation of the line.

b )y = -5x - 11 is the slope intercept form of the equation.

Explanation:

The slope of the line = -5 = m

The point is given as (-3,4)

Now, by POINT SLOPE FORMULA:

The equation of line is given as (y-y0) = m (x-x0)

Similarly, here the equation of line is given as

(y-4) = (-5)(x - (-3))

or, y -4 = -5 (x + 3) is the equation of the line.

SLOPE INTERCEPT FORM : y = mx + C

So , here y -4 = -5 (x + 3) ⇒ y = -5x - 15 + 4

or, y = -5x - 11 is the slope intercept form of the equation.