SOLUTION: how do you make the equation if x is -2 and 6 and y is 6 and -10, and find the value of y if x is -10 and find the value of x if y is 4

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Question 456055: how do you make the equation if x is -2 and 6 and y is 6 and -10, and find the value of y if x is -10 and find the value of x if y is 4
Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website!
how do you make the equation if x is -2 and 6 and y is 6 and -10, and find the value of y if x is -10 and find the value of x if y is 4
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You can always find the equation of a line if you know its slope and the coordinates of a point on the line or coordinates of two points on the line. Standard form of equation for straight line:
y=mx+b, with m=slope, and b=y-intercept. After you get the equation, you can solve for any value of x or y.
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for given problem, two points are given.
find the slope=∆y/∆x=y1-y2/x1-x2=(6-(-10))/(-2-6)=16/-8=-2
To find y-intercept, plug in (x,y) coordinates from one of the points into standard form of equation and solve for b.
Using first given point,
y=mx+b
6=-2(-2)+b
6=4+b
b=2
Equation: y=-2x+2
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for x=-10
y=-2*-10+2=22
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for y=4
4=-2x+2
2x=-4+2=-2
x=-1
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see the graph below as a visual check on the answers