Answer:
The equation of the line with slope and y-intercept is [tex]y=\frac{9}{4}x-4[/tex]
Step-by-step explanation:
Given that the slope is [tex]\frac{9}{4}[/tex] and y-intercept=-4
That is [tex]m=\frac{9}{4}[/tex] and c=-4
The slope intercept form is y=mx+c where m is slope and c is y-intercept
Now substitute [tex]m=\frac{9}{4}[/tex] and c=-4 in the above equation we get
[tex]y=\frac{9}{4}x+(-4)[/tex]
[tex]y=\frac{9}{4}x-4[/tex]
Therefore the equation of the line with slope and y-intercept is [tex]y=\frac{9}{4}x-4[/tex]
