Question

¿Cuál es la ecuación de la recta con pendiente -2 y el punto (4, 10)?

Answer 1

The general slope-intercept form equation is:

$\begin{gathered} y=mx+b \\ \text{Wher m is the slope and b is the y-intercept value} \end{gathered}$

In this case, m=-2 and with the point (4, 10) we can find the value of b:

$\begin{gathered} We\text{ evalute the equation in the point (x, y) = (4 , 10):} \\ 10=-2\cdot4+b \\ 10=-8+b \\ b=10+8=18 \end{gathered}$

We found that b = 18, so:

$y=-2x+18$