Answer:
Step-by-step explanation:
Hello:
equation is the line is : y = ax+b a is a slope
y = (3/5)x+b
passing through the point (9;−4) : -4 =(3/5)(9)+b
b = - 4 -27/5 = -47/5
y = (3/5)x- 47/5
Answer:
[tex](y+4)=\frac{3}{5}(x-9)[/tex].
Step-by-step explanation:
We have been given that a line passes through the point (9, -4) and has a slope of 3/5.
We will write the equation of given line in point-slope form of equation.
[tex](y-y_1)=m(x-x_1)[/tex], where,
m = Slope of line,
[tex](x_1,y_1)[/tex]= Coordinates of the point on the line.
Upon substituting our given values in above formula, we will get:
[tex](y--4)=\frac{3}{5}(x-9)[/tex]
[tex](y+4)=\frac{3}{5}(x-9)[/tex]
Therefore, our required equation would be [tex](y+4)=\frac{3}{5}(x-9)[/tex].
