SOLUTION: Write the equation of each line. Give the answer in slope-intercept form. The line through (-1,-2)with slope of 3/7 The answer is y=3/7x-11/7 How do I work this problem t

Question 118003: Write the equation of each line. Give the answer in slope-intercept form.
The line through (-1,-2)with slope of 3/7
The answer is y=3/7x-11/7
How do I work this problem to get that answer?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

If you want to find the equation of line with a given a slope of which goes through the point (,), you can simply use the point-slope formula to find the equation:

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

is the given point

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

Plug in , , and (these values are given)

Rewrite as

Rewrite as

Distribute

Multiply and to get

Subtract 2 from 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 with a slope of which goes through the point (,) is:

which is now in form where the slope is and the y-intercept is

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

Graph of through the point (,)
and we can see that the point lies on the line. Since we know the equation has a slope of and goes through the point (,), this verifies our answer.
RELATED QUESTIONS
Write the equation of each line. Give the answer in slope intercept form. The line... (answered by Alan3354)

Write the equation of each line, give the answer in slope intercept form. The line... (answered by mananth)

Write the equation of the line. Give the answer in slope-intercept form. The line... (answered by josmiceli)

Please help with this algebraic conumdrum as I'm having difficulty with slope intercept. (answered by Fombitz,stanbon)

2 points) Write the equation of a line with the slope, \frac{1}{3}, which passes through... (answered by mananth)

give the equation of this line in slope intercept form, slope-3 passes through... (answered by Boreal)

write the equation of the line below in slope intercept form the line through (4, -1)... (answered by longjonsilver)

(7) Write the equation of the line passing through (-3,1) with a slope of-1/3 Write... (answered by checkley71)

write an equation of the line in slope-intercept form slope:-1 passes through... (answered by math_tutor2020)