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CEMC Cayley, 2014

Algebra Difficulty 2.4 Junior Find the answer Canada

A line intersects the positive $x$ -axis and positive $y$ -axis, as shown.

A possible equation of this line is

Pick one

Solution

We consider the equation of the line shown in the form $y=mx+b$ .

The slope, $m$ , of the line shown is negative.

The $y$ -intercept, $b$ , of the line shown is positive.

Of the given choices only $y=-2x+3$ has $\text{m lt;0}$ and $\text{b gt;0}$ .

Therefore, a possible equation for the line is $y=-2x+3$ .

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