Rewrite the equation of a line in point-slope form to slope intercept form: y + 2 = –2(x – 5)

Question

anonymous · Answer

Firstly distribute -2 to the brackets on right hand side..

anonymous · Answer

so -2x+10?

anonymous · Answer

yes..
Write the entire equation..

anonymous · Answer

so y+2=-2x+10?

anonymous · Answer

Yes you are going right..

Now subtract 2 both the sides and tell me what you got..

anonymous · Answer

y=-2x+8

anonymous · Answer

Yes..
One step to go now..
Tell me what is the coefficient of x here??

anonymous · Answer

what is coefficient?

anonymous · Answer

x is attached to what number??

See, if I am given with 5x,

then 5 is the coefficient of x..

Getting?/

Like wise what is the coefficient of x there??

anonymous · Answer

-2 is the coefficient

anonymous · Answer

Yes this is the required slope..

Did you get ??

anonymous · Answer

Oh sorry we have to just write the line..

anonymous · Answer

See, the equation of Slope-Intercept Form is given by:

$$\huge \color{green}{y = mx + c}$$

anonymous · Answer

So you got the equation like:

$y = -2x + 8$ is your answer to this question...

Here slope(m) = -2 and y-Intercept(c) = 8