SOLUTION: How would I write these in standard form? Has a slope of 3 and has a y-intercept of 4 Passes through the points (2,-6) and (4,-6) Thanks ryan

Question 154564: How would I write these in standard form?
Has a slope of 3 and has a y-intercept of 4
Passes through the points (2,-6) and (4,-6)
Thanks
ryan
Found 2 solutions by checkley77, jim_thompson5910:
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
Y=mX+B (red line)
Y=3X+4 THIS LINE HAS A SLOPE=3 & A Y INTERCEPT=4.
(graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 3x +4 and y = -6).
----------------------------------------
slope=(-6+6)/4-2)=0/2 represents a horizontal line through -6 (green line).
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
# 1

Since the equation has a y-intercept of 4, this means that the line goes through the point (0,4)

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)

Distribute

Multiply and to get

Add 4 to both sides to isolate y

Add and to get

------------------------------------------------------------------------------------------------------------
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.

# 2

First let's find the slope of the line through the points and

Start with the slope formula.

Plug in , , , and

Subtract from to get

Subtract from to get

Reduce

So the slope of the line that goes through the points and is

Now let's use the point slope formula:

Start with the point slope formula

Plug in , , and

Rewrite as

Distribute

Multiply

Subtract 6 from both sides.

Combine like terms.

Simplify

So the equation that goes through the points and is

Notice how the graph of goes through the points and . So this visually verifies our answer.
Graph of through the points and

RELATED QUESTIONS
(write a equation for each condition listed) 1.the line with the slope of -8 and a... (answered by ramkikk66)
1 .Write the standard form of the equation of the line passing thru each pair of points (answered by Alan3354)
How do you write an equation in slope-intercept form of the line satisfying the given... (answered by checkley71)
Write an equation in slope-intercept form for the line that has a slope of 2 and passes... (answered by ewatrrr)
A line passes through the points (-4,9) and has a slope of 5/4. Write an equation in... (answered by josgarithmetic)
A line passes through the points(-8,-7) and has a slope of 5/4 Write an equation (answered by josmiceli)
Write an equation in slope-intercept form of the line that passes through the point (-4,... (answered by solver91311)
I took algebra in college but am 50 so been a long time, my daughter needs help and I... (answered by stanbon)
write an equation in standard form of the line that has y-intercept=-4 and passes through (answered by funmath)