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22 votes
22 votes
Please help! What is the equation of the line?

y=-3x


y=3x


y=3x+1


y=4x

Please help! What is the equation of the line? y=-3x y=3x y=3x+1 y=4x-example-1
User Gugulethu
by
2.9k points

1 Answer

13 votes
13 votes

Answer: y=3x

Explanation:

The equation can be found by finding the slope of the given line. Visually, this can be found by counting the distance between two points. From (1,3) and (2,6), the line "rises" 3 units and "runs" 1 unit to the right. Since slope is calculated as rise over run, this gives us 3/1, or just 3 for slope. In slope-intercept form, this becomes y=3x.

Just to note, we know it is not negative because of the direction of the slope. Visually, if the slope "moves" in the direction of upwards and to the left, it will be positive. This can be calculated more accurately using the slope formula (y2-y1/x2-x1)

User Brandon Kohn
by
2.7k points
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