Point slope

[Audentes]

Write an equation in point-slope form for the line that passes through the point with the given slope. (3, 0), m = 1

I got y+3=x. Am I correct?

 

[HallsofIvy]

Yes, although it is more common to write y= x- 3, that is a perfectly good answer.

 

[Audentes]

But that is one of the other choices, which should I pick?

 

[Audentes]

One of them is slope intercept and the other is point slope. I need to pick point slope. But now I don’t know which is which for sure

 

[Audentes]

Anyone?

 

[HallsofIvy]

"Point slope" is not either y= x- 3 or x= y+ 3. Point slope is $\displaystyle y- y_0= m(x- x_0)$, where m is the slope and $\displaystyle (x_0, y_0)$ is a point the line goes through. Here that would be $\displaystyle y- 0= 1(x- 3)$.

 

[Audentes]

Okay, so I’ll just have to see how it goes. Thankfully, this question won’t make a dent in my grade in case it is a perspective issue

 

[JeffM]

What are the DEFINITIONS of slope-intercept form and point-slope form?

 

[Audentes]

Slope intercept:
the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept

point slope:
the equation of a straight line in the form y − y1 = m(x − x1) where m is the slope of the line and (x1, y1) are the coordinates of a given point on the line

 

[Steven G]

But that is one of the other choices, which should I pick?

If you give us all the choices then we can do a better job helping you.

 

[Audentes]

y = x - 3

y = x + 3

y - 3 = x

y + 3 = x

 

[Steven G]

1st one

 

[Audentes]

1st one

Why not the last one?

 

[Steven G]

It is not in point-slope format.

 

[Audentes]

It is not in point-slope format.

Okay thank you