# 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 4Answer by lwsshak3(6490)   (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 .. 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. .. 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 .. for x=-10 y=-2*-10+2=22 .. for y=4 4=-2x+2 2x=-4+2=-2 x=-1 .. see the graph below as a visual check on the answers