A line with a slope of 2 and passes a point (4, 1). Please write the equation for this line in standard form.?

A line with a slope of 2 and passes a point (4, 1). Please write the equation for this line in standard form. (standard form is Ax + By = C)

A line with a slope of 2 and passes a point (4, 1). Please write the equation for this line in standard form.?
First use slope intercept form-


y=mx+b, where m is the slope and b is the y intercept





y=2x+b





plug in the point-





1=2(4)+b


1=8+b


b=-7





Thus,


y=2x-7





Move the numbers around





2x-y-7=0


2x-y=7





=)
Reply:First things first. We have a point and a slope, so we'll start with point-slope form and then try to transfer it to standard form.


y-ysub1=m(x-xsub1)


y-1=2(x-4)


Distribute


y-1=2x-8





Now, while it's the opposite of Ax+By=C, we'll move the variables to the right, and the constant to the left. We'll flip later, but the positive coefficent of x is needed for standard form.





-1-(-8)=2x-y


Flip and add


2x-y=7
Reply:I think it may be -2x + y = -7 but I'm not sure.
Reply:y=2x+4





if thats the y-intercept form then all u have to do is make it equal to zero.





-2x -4 + y =0





hope i helped :)

avender