Question

HELP ME!!!!!
Part 1: Write the equation of the line that passes through the points (–1, –4) and (2, 5).

Part 2: Using complete sentences, explain whether or not it matters which point is used in the final answer. Also explain why you chose the point you did.

Answer 1

@ParthKohli

Answer 2

3?

Answer 3

Part 1: You want it on the form: \[y=kx+m\]
Where the slope can be calculated through \[k=\frac{\Delta y}{\Delta x} = \frac{y-y_0}{x-x_0}\]
Then just use the points given to get the value of m.
\[m=y-kx=y-\frac{y-y_0}{x-x_0}x\]

Solution/Answer is as follows:
Points given: \[(-1; -4), (2; 5) \]
\[k=\frac{5-(-4)}{2-(-1)}=\frac{9}{3}=3\]
\[m=5-3*2=-1\]

Equation:
\[y=3x-1\]

Answer 4

Thanks!