Slope=-7, through (-6,8)

Question

 What is the equation of the line, with the given properties, in slope-intercept form.

Answer 1

Since you are given the slope m = -7, the equation must be of the form

 

y = -7x + b.

 

To find the intercept, plug in the point (6,8) and solve. If x = -6 then y = 8 so

 

8 = -7(-6) + b

 

8 = 42 + b

 

8 - 42 = b

 

-34 = b

 

Thus the equation of the line is

 

y = -7x - 34

Answer 2

The equation of a line is in the form  y=mx+b, where m is slope and b is y-intercept.

 

Since we already know the slope, the equation so far is

 

y = -7x + b

 

 

Plug in the values of the given coordinate point into the equation to solve for b.

 

8 = -7(-6) + b

8 = 42 + b

-34 = b

 

 

The equation of the line is

 

y = -7x - 34

Answer 3

The slope-intercept form of the equation of a line looks like:

    y = mx + b     where b is the slope and b is the y-intercept (the value of y when x=0

 

The given line has slope of (-7), so the equation so far is:

    y = -7x + b

 

Use the point (-6,8) to find b.

   8 = (-7)(-6) + b

   8 = 42 + b

   -34 = b

 

The equation in slope-intercept form is:

    y = -7x -34