Question

6. Write the equation of the line in slope-intercept form given the following:

Point (-4,-4) and Slope of
5/4

Answer 1

`y=(5)/(4)x+1`

Explanation:

Slope intercept form a equation of a line is given by the following formula:

Slope intercept form:

`y=mx+c`

Given that, a point is (-4,-4)

i.e.

`x=-4,\\y=-4`

Slope,
`m =(5)/(4)`

Putting the given values in the Slope intercept form equation:

`-4=-4* (5)/(4)+c\\\Rightarrow -4=-5+c\\\Rightarrow c =1`

Putting the value of
`c` and
`m` in the slope intercept form:

`y=(5)/(4)x+1`