Question

A straight line passes through the point (-1,2) and (2,8). Find the equation of the

straight line.

Answer 1

Looking at the question, we are given two points and we need to determine the line that passes through both of these points. The first step to solving this problem is to find the slope.

`slope=(y_2-y_1)/(x_2-x_1)`

`slope=(8-2)/(2-(-1))`

`slope=(6)/(2+1)`

`slope=(6)/(3)`

`slope=2`

Now that we found the slope, we can move onto the next part which is to use the point-slope formula to determine our correct straight line.

`(y-y_1)=m(x-x_1)`

`(y-2)=2(x-(-1))`

`y-2=2(x+1)`

`y-2=2x + 2`

`y- 2 + 2=2x + 2 + 2`

`y=2x + 4`

Therefore, our straight line that passes through the two points that were provided in the problem is
`y=2x + 4`.

Hope this helps! Let me know if you have any questions