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Answer: To change an equation to slope-intercept form, just solve it for the variable "y". In other words, transform the equation so that the "y" appears on the left side.
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(y2-y1)=m(x2-x1)
You cannot, in general, solve one equation with two unknown variables. x - y = x - x2 Subtract x from both sides: - y = - x2 Change signs: y = x2 And that is as far as you can go.
The equation is -x2 - 4 = 14 or -x2 = 18 which is the same as x2 = -18. That is the quadratic equation.
A quadratic equation in the form of: x2-54x+560 = 0 whose solutions are x = 14 and x = 40
If (x1, y1) and (x2, y2) are two points on the line, then the formula for the slope is (y2-y1)/(x2-x1) provided x2 ≠x1. If x2 = x1 then the line is vertical and the slope is not defined.