Question

Which point is NOT on the graph of the equation 5x - 2y = 6? Please explain how to solve questions like this :)

Answer 1

Since 5x5x does not contain the variable to solve for, move it to the right side of the equation by subtracting 5x5x from both sides.

−2y=−5x+6-2y=-5x+6Divide each term by −2-2 and simplify.
Divide each term in −2y=−5x+6-2y=-5x+6 by −2-2.−2y−2=−5x−2+6−2-2y-2=-5x-2+6-2

Simplify the left side of the equation by cancelling the common factors.
Reduce the expression by cancelling the common factors.
Factor 22 out of −2-2.−2(y)2(−1)=−5x−2+6−2-2y2-1=-5x-2+6-2Cancel the common factor.−2y2⋅−1=−5x−2+6−2-2y2⋅-1=-5x-2+6-2Rewrite the expression.−y−1=−5x−2+6−2-y-1=-5x-2+6-2Move the negative one from the denominator of y−1y-1.−(−1⋅y)=−5x−2+6−2--1⋅y=-5x-2+6-2Simplify the expression.
Multiply −1-1 by yy to get −1y-1y.−(−1y)=−5x−2+6−2--1y=-5x-2+6-2Rewrite −1y-1y as −y-y.y=−5x−2+6−2y=-5x-2+6-2Simplify each term.
Move the negative in front of the fraction.y=5x2+6−2y=5x2+6-2Simplify −−5x2--5x2.
Multiply −1-1 by −1-1 to get 11.y=1(5x2)+6−2y=15x2+6-2Multiply 5x25x2 by 11 to get 5x25x2.y=5x2+6−2y=5x2+6-2Divide 66 by −2-2 to get −3-3.y=5x2−3y=5x2-3Use the slope-intercept form to find the slope and y-intercept.
The slope-intercept form is y=mx+by=mx+b, where mm is the slope and bb is the y-intercept.y=mx+by=mx+bFind the values of mm and bb using the form y=mx+by=mx+b.m=52m=52b=−3b=-3The slope of the line is the value of mm, and the y-intercept is the value of bb.Slope: 5252Y-Intercept: −3