Respuesta :
Answer:
The required point slope form equation is [tex](y+5)=\frac{5}{7}(x-8)[/tex]
Step-by-step explanation:
Given : A line contains the point slope (8,-5) if the slope of the line is [tex]\frac{5}{7}[/tex]
To find : Write an equation using point slope form ?
Solution :
The point slope form of a line having a slope m and point [tex](x_1,y_1)[/tex] is given by,
[tex](y-y_1)=m (x-x_1)[/tex]
We have given, [tex](x_1,y_1)=(8,-5)[/tex] and [tex]m=\frac{5}{7}[/tex]
Substitute in the formula,
[tex](y-(-5))=\frac{5}{7}(x-8)[/tex]
[tex](y+5)=\frac{5}{7}(x-8)[/tex]
Therefore, The required point slope form equation is [tex](y+5)=\frac{5}{7}(x-8)[/tex]