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Student Question

Secondary III • 1yr.

Hi!

I am not able to find the equation of the line which goes through the following points: (-4.7) and (22.4)

Can you help me?

Mathematics
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Explanations (1)

  • Explanation from Alloprof

    Explanation from Alloprof

    This Explanation was submitted by a member of the Alloprof team.

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    Team Alloprof • 1yr.

    Hello!

    First of all, as we know that it is a straight line, we know the equation will take the form y = ax + b.

    To find a, the slope of the line, there is a formula:

    $$a = \frac {y_2 − y_1}{x_2 − x_1} $$

    By entering the values, you will have:

    $$a = \frac {4 − 7}{22 - - 4} = \frac {-3} {26} $$

    By replacing the a by its value in the formula you get this:

    $$ y = − \frac{3}{26}x + b $$

    Then you replace x and y by one of the two points that you have and as there is only the b left as a variable you will be able to find its value by isolating it !

    Feel free to ask us more questions if you have any!