Question

What is the formula for the equation of a line in point-slope form?

Answer 1

`\rm{y-y_1=m(x-x_1)}`

Explanation:

Hi! Our task is to answer this question.

So basically, we need to know the point-slope formula, which is:

`y-y_1=m(x-x_1)`

where:

• 
  `y_1` is the y-coordinate of a point
• 
  `m` is the slope
• 
  `x_1` is the x-coordinate of a point

EXAMPLE

Let's say that we have a line that:

• has a slope of 10
• passes through (1,4)

And we need to find its equation in point-slope. Well, we take the point-slope formula, and substitute the values.

`\rm{y-4=10(x-1)}`

Done !!

`\hspace{370}\above4`