Question

What is the equation of the straight line that passes through (5, 10) and (9,24)?

Answer 1

y=3.5x−7.5.

Explanation:

To find the equation of the straight line passing through the points (5, 10) and (9, 24), you can use the point-slope form of the equation:

y−y1=m(x−x1)

Elsewhere (x1,y1) is the point on the line.
and M is the slope

First, calculate the slope (m) using the given points:

`M=(y_(2)-y_(1))/(x_(2)-x_(1))`

`M=(24-10)/(9-5) =(14)/(4) =3.5`

Now that you have the slope, choose one of the points (let's use (5, 10)) and substitute into the point-slope form:

y−10=3.5(x−5)

Distribute 3.5 on the right side:

y−10=3.5x−17.5

Add 10 to both sides to isolate y:

y=3.5x−7.5

So, the equation of the straight line passing through the points (5, 10) and (9, 24) is y=3.5x−7.5.