write the equation in point slope form of the line through points (4,-4) and (1,2) use the point (4,-4)
|dw:1382582019254:dw| find the values of x and y. the diagram is not to scale. PLEASE HELP!!
For the first question, do you know how to find the slope of a line passing through (4,-4) and (1,2) ?
nope unfortunately im extremely stupid
\[\frac{ y_2 -y_1}{ x_2-x_1 }\]
Slope is: difference in y coordinates divided by the difference in x coordinates Can you tell me what you get for slope?
2?
minus 2. When you take the y difference, you have to take the x difference the same way. y difference is: 2 - (-4) = 2 + 4 = 6 x difference is: 1 - 4 = -3 slope = 6/-3 = -2
once you get the slope, to find the point slope form plug it into the equation: (y - y1) / (x - x1) = m Here they want you to choose (4, -4) as the point. So x1 = 4 and y1 = -4, m = -2 Just plug it in.
so 6/-3 = -2 is the point slope?
No -2 is the slope of the line.
and is 6/-3 a fraction? haha im confused. ok just real simple what is the answer to the question than sorry im being so difficult
Sorry. You have sufficient info to do the calculation.
alright so i plug -2 into the y=mx + b equation?
You plug it into: (y - y1) / (x - x1) = m x1 = 4 and y1 = -4, m = -2
i have no idea what you just did there
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That is the equation of a line in the point slope form. You know the slope and you know a point on the line. That is why it is called a point-slope form.
If it would make it easier you can also write the equation as: (y - y1) = m(x - x1) x1 = 4 and y1 = -4, m = -2. Just plug in these three values in the equation and you are done.
ok so the answer is y-(-4) = -2(x-4)
Yes. But the -(-4) = +4 So it is y + 4 = -2(x - 4) That is it!
really!!? yeah!! thnaks for all the help! think u could help me on the one with the diagram??
You need to solve for x and y?
yes
The interior angles of a triangle adds up to how many degrees?
180?
yes. Let me redraw with the vertex marked so it will be easy to discuss. hold on...
ok thanks!
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