Answer:
[tex]y=\dfrac{5}{4}x+1[/tex]
Step-by-step explanation:
Slope intercept form a equation of a line is given by the following formula:
Slope intercept form:
[tex]y=mx+c[/tex]
Given that, a point is (-4,-4)
i.e.
[tex]x=-4,\\y=-4[/tex]
Slope, [tex]m =\frac{5}{4}[/tex]
Putting the given values in the Slope intercept form equation:
[tex]-4=-4\times \dfrac{5}{4}+c\\\Rightarrow -4=-5+c\\\Rightarrow c =1[/tex]
Putting the value of [tex]c[/tex] and [tex]m[/tex] in the slope intercept form:
[tex]y=\dfrac{5}{4}x+1[/tex]
