Question

line m is graphed below the line of the equation y=-1/3x+3 will be graphed with line m. what will be the point of intersection of the two lines

Answer 1

The point of intersection of the two lines is (9/7,18/7)

How to determine the point of intersection

The equation of line m is given as:

$y = 2x$

The second equation is given as:

$y = -\frac 13x + 3$

Substitute 2x for y in the above equation

$2x = -\frac 13x + 3$

Collect like terms

$2x +\frac 13x = 3$

Multiply through by 3

$6x +x = 9$

$7x = 9$

Solve for x

$x = \frac 97$

Substitute 9/7 for x in $y = 2x$

$y = 2\times \frac 97$

$y = \frac {18}7$

Hence, the point of intersection of the two lines is (9/7,18/7)

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