Question

Type the slope intercept equation of the line that passes through the points (6,5) and (-6,-4)

Answer 1

1. Use the next formula to find the slope:

`m=(y_2-y_1)/(x_2-x_1)`
`m=(-4-5)/(-6-6)=(-9)/(-12)=(3)/(4)`

2. Use the slope (3/4) and one of the points to find the y-intercept (b):

`\begin{gathered} y=mx+b \\ (6,5) \\ \\ 5=(3)/(4)(6)+b \\ 5=(18)/(4)+b \\ \\ b=5-(18)/(4) \\ b=(20-18)/(4) \\ b=(2)/(4) \\ b=(1)/(2) \end{gathered}`

Then, the slope is 3/4 and the y-intercept is 1/2. Equation:

`y=(3)/(4)x+(1)/(2)`