A line contains the point slope (8,-5) if the slope of the line is 5/7 write an equation using point slope form

Respuesta :

y + 5 = 5/7 * ( x - 8 )
hope this helps!

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]

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