Answer:
[tex]y+4=\frac{9}{4} (x-3)[/tex]
Step-by-step explanation:
Given:
Slope which is [tex]m[/tex], that is [tex]\frac{9}{4}[/tex]
Line containing [tex]point[/tex], that is [tex](3,-4)[/tex]
We need to write an equation in point slope form for the line.
Solution:
As we know that [tex](x_1,y_1)= (3, -4)[/tex]
As we know the equation of line in point slope form is [tex]y-y_1=m(x-x_1)[/tex]
Let us know plug the value:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(-4)=\frac{9}{4} (x-3)[/tex]
⇒ [tex]y+4=\frac{9}{4} (x-3)[/tex]
Hence, the equation in point slope form for the line that has a slope of [tex]\frac{9}{4}[/tex] is [tex]y+4=\frac{9}{4} (x-3)[/tex].
