SOLUTION: Could someone please help me with this I am having trouble with slopes. The question is write the equation on the line with given slopes and y intercepts.Then graph each line us

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Question 90115: Could someone please help me with this I am having trouble with slopes.
The question is write the equation on the line with given slopes and y intercepts.Then graph each line using the slope and y intercepts.
1)SLOPE 5:Y INTERCEPT:(0.2)
2)SLOPE 3/4:Y INTERCEPT (0,8)

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 m 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 the negatives

Multiply and to get

Add to both sides

Combine like terms
------------------------------------------------------------------------------------------------------------
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.

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



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 m 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 the negatives

Multiply and to get

Add to both sides

Combine like terms
------------------------------------------------------------------------------------------------------------
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.

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