SOLUTION: How would you solve the problem in point-slope form? A line through (-1,1) and (2,3)

Question 102884: How would you solve the problem in point-slope form?
A line through (-1,1) and (2,3)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First lets find the slope through the points (,) and (,)

Start with the slope formula (note:

is the first point (,) and

is the second point (,))

Plug in ,,, (these are the coordinates of given points)

Subtract the terms in the numerator to get . Subtract the terms in the denominator to get

So the slope is

------------------------------------------------

Now let's use the point-slope formula to find the equation of the line:

------Point-Slope Formula------
where is the slope, and

is one of the given points

So lets use the Point-Slope Formula to find the equation of the line

Plug in , , and (these values are given)

Rewrite as

Distribute

Multiply and to get

Add to both sides to isolate y

Combine like terms and to get (note: if you need help with combining fractions, check out this solver)

------------------------------------------------------------------------------------------------------------
Answer:

So the equation of the line which goes through the points (,) and (,) is:

The equation is now in form (which is slope-intercept form) where the slope is and the y-intercept is

Notice if we graph the equation and plot the points (,) and (,), we get this: (note: if you need help with graphing, check out this solver )

Graph of through the points (,) and (,)

Notice how the two points lie on the line. This graphically verifies our answer.
RELATED QUESTIONS
(write a equation for each condition listed) 1.the line with the slope of -8 and a... (answered by ramkikk66)

Write the equation of the line through (-3, 2) and (1, 2) in point-slope... (answered by mathgotserved)

. Please help me solve this .A line passes through points(-2,1) and a slope of 1/3 find... (answered by ewatrrr)

Write the equation of a line, in point-slope form, through (-6,2) 1) slope = 4... (answered by stanbon)

a line passing through points A (1,-2) and B (4,-3) write the equation of a linear... (answered by macston)

how do you solve/ write an equation in slope-intercept form for a line that passes... (answered by Alan3354,ewatrrr)

how do you solve/ write an equation in slope-intercept form for a line that passes... (answered by rfer)

You have the points (-3,-1) and (2,1) on a line and the slope is -2/5. How do you write... (answered by Alan3354)

1. Find the equation of the line passing through the point (3,4) that is perpendicular to (answered by stanbon)