Q:

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.

Accepted Solution

A:
Answer:a) y -4  = -5 (x + 3)  is the equation of the line.b )y = -5x  - 11  is the slope intercept form of the equation.Step-by-step explanation:The slope of the line  = -5  = mThe 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  + CSo , here  y -4  = -5 (x + 3)  ⇒ y = -5x - 15 + 4or, y = -5x  - 11  is the slope intercept form of the equation.