Given the slope m=-2 and a point (4,3) write the equation In slope intercept form

Question

Im having a test on Tuesday  and need help on this question

Answer 1

Hello Zoan,

There are a couple ways that you can get to the slope intercept form. Since we are given a point and the slope, I am going to use the Point-Slope Form.  You might recall that the point slope form is

y-y1= m(x-x1), where m=-2, x1=4, y1=3.  So, all we have to do next is to plug in the values in to the equation and then solve for y.  

 

y-y1= m(x-x1)

y-3= -2(x-4)        Using the distributive property

y-3= -2x+ 8         Add 3 to both sides

   +3       +3

y= -2x+ 11. This is the Slope-Intercept Form

 

Ok, Zoan, good luck on your test, and if you have more questions feel free to post them, someone will answer it for you.  Take care. Please rate my answer :).

 

D. Y. Taylor