Question

Find the equation of a line with given slope and containing the given point. Write the equation in slope-intercept form. M= 5/3 , point ( -6, -5)Y=

Answer 1

Given:

Slope, m=5/3

Point (-6, -5)

To find the slope intercept form:

Using the point- slope formula,

`\begin{gathered} y-y_1=m(x-x_1) \\ y-(-5)=(5)/(3)(x-(-6)) \\ y+5=(5)/(3)(x+6) \\ y=(5)/(3)(x+6)-5 \\ y=(5)/(3)x+10-5 \\ y=(5)/(3)x+5 \end{gathered}`

Hence, the slope intercept form is,

`y=(5)/(3)x+5`