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Question 6121: Y X
-4 -3
10 4
what is the equation for these points
Answer by Earlsdon(6294)   (Show Source):
You can put this solution on YOUR website! Perhaps the appropriate question should be...what is the equation of the line that passes through these two points, (-3, -4) and (4, 10)?
You could start with the slope-intercept form of the equation of a line:
y = mx + b
Find the slope, m, using the given x and y coordinates of the given points.
m = (y2 - y1)/(x2 - x1)
m = (10 - (-4))/(4 - (-3))
m = 14/7
m = 2
Now you have: y = 2x + b You need to find the value of b, the y-intercept.
You do this by substituting the x, y values from either of the two given points and solve for b. Let's use the second point, (4, 10)
10 = 2(4) + b Solve for b.
10 = 8 + b Subtract 8 from both sides.
2 = b
Now you can write the equation of the line that passes through the two given points:
y = 2x + 2
The verification is left as an exercise for the student.
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