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can any equation in point-slope form also be written in slope-intercept form?

Sagot :

Answer:

Yes

Step-by-step explanation:

The way the equation is written in point-slope form is:

[tex]y-y1=m(x-x1)[/tex]

The way we write an equation in slope-intercept form is:

[tex]y=mx+b[/tex]

We can change point-slope form to slope-intercept form by first distributing the m and then adding y1 to both sides of the equation. When we do this we will get:

[tex]y=mx-(m*x+y1)[/tex] where [tex](m*x+y1) = b[/tex]

which is now in slope intercept form.