document.write( "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 \n" ); document.write( "
Algebra.Com's Answer #313071 by lwsshak3(11628)\"\" \"About 
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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
\n" ); document.write( "..
\n" ); document.write( "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:
\n" ); document.write( "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.
\n" ); document.write( "..
\n" ); document.write( "for given problem, two points are given.
\n" ); document.write( "find the slope=∆y/∆x=y1-y2/x1-x2=(6-(-10))/(-2-6)=16/-8=-2
\n" ); document.write( "To find y-intercept, plug in (x,y) coordinates from one of the points into standard form of equation and solve for b.
\n" ); document.write( "Using first given point,
\n" ); document.write( "y=mx+b
\n" ); document.write( "6=-2(-2)+b
\n" ); document.write( "6=4+b
\n" ); document.write( "b=2
\n" ); document.write( "Equation: y=-2x+2
\n" ); document.write( "..
\n" ); document.write( "for x=-10
\n" ); document.write( "y=-2*-10+2=22
\n" ); document.write( "..
\n" ); document.write( "for y=4
\n" ); document.write( "4=-2x+2
\n" ); document.write( "2x=-4+2=-2
\n" ); document.write( "x=-1
\n" ); document.write( "..
\n" ); document.write( "see the graph below as a visual check on the answers
\n" ); document.write( "\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-5%2C+25%2C+-2x%2B2%29+\" \n" ); document.write( "
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