Question

(-10,0)(-8,10) what is the linear equation

Answer 1

To find the linear equation for this points:

(-10, 0) and (-8, 10), we will need to use the following expression to calculate the slope:

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=(10-0)/(-8-(-10)) \\ m=(10)/(2) \\ m=5 \end{gathered}`

A linear equation is represented by this expression in slope-intercept form:

`\begin{gathered} y=mx+b \\ \text{where,} \\ m\text{ is the slope and b is the y-intercept.} \end{gathered}`

Since we don't have the y-intercept, we can find the equation of the line by using the slope-point form:

`\begin{gathered} y-y_0=m(x-x_0) \\ y-0=5(x+10) \\ y=5x+50 \end{gathered}`