There is a line that includes the point (5, 8) and has a slope of 0. What is its equation in slope -intercept form?

Question

We are reviewing slope-intercept form. And I do not know how to do this type of equation. Please Help!!

Answer 1

To start we use the form of the equation for what we are given in the problem , this problem tells us point & slope.  Therefore we want to use point slope form.  However, given that we are told the slope of the line is = 0, that tells us that the line does not rise ( either up or down ), so it is a horizontal line! Therefore, a horizontal line is always equal to  y= (the y-coordinate of the point you are given)----->  y = 8  for this problem. 

But, if you do not recognize this, we can always go from point-slope into slope intercept form as follows;

 

y - y₁ = m ( x - x₁)  pt-slope ---->   y - 8 = 0*(x - 5)

                                                       y - 8 = 0

                                                          +8  +8

 

 

                                                          y = 8 ---->  slope-intercept form ( y = m*x + b )