Question

Please help me on this question Drop down 1:Is on the x-axisIs on the y-axisIs on the graph of y = 1/3x + 6Is on the graph of y = 4Is on the coordinate planeDrop down 2:Located at (0,0)On both linesOn the x-axisOn the y-axisOn one lineDrop down 3:EndIntersectCross the x-axisCross the y-axisDrop down 4:EndIntersectCross the x-axisCross the y-axisDrop down 5:SolutionCoefficientDrop down 6:0TrueFalsePositiveNegative

Answer 1

Solution:

The coordinates (-6, 4) satisfy the equation:

$y=\frac{1}{3}x+6$

because

$\begin{gathered} when\text{ x = -6, we have} \\ y=\frac{1}{3}(-6)+6=-2+6 \\ \Rightarrow y=4 \\ (-6,\text{ 4\rparen is on the graph of y=}\frac{1}{3}x+6 \end{gathered}$

If (-6, 4) satisfies the equations of two lines, (-6, 4) is

$on\text{ both lines}$

so that the lines will

$intersect$

at (-6, 4).

This means that if two lines

$intersect$

at (-6, 4), then (-6, 4) is the

$solution$

to the system of equations.

This means that if you substitute -6 for x and 4 for y in the equations, both equation will be

$True$