Secondary III • 3yr.
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?
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?
Explanation from Alloprof
This Explanation was submitted by a member of the Alloprof team.
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!