12) Using the map below, write a proportion(s) and solve.
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<h3><u>Explanation</u></h3>
- First Method
We have the given slope value and the coordinate point that the graph passes through.
where m = slope and b = y-intercept. Substitute the value of slope in the equation.
We have the given coordinate point as well. After we substitute the slope, we substitute the coordinate point value in the equation.
<u>Solve</u><u> </u><u>the</u><u> </u><u>equation</u><u> </u><u>for</u><u> </u><u>b-term</u>
The value of b is 6. We substitute the value of b in the equation.
- Second Method
We can also use the Point-Slope form to solve the question.
Given the y1 and x1 = the coordinate point value.
Substitute the slope and coordinate point value in the point slope form.
<u>Simplify</u><u>/</u><u>Convert</u><u> </u><u>into</u><u> </u><u>Slope-intercept</u>
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