Question

Which equation represents a line that passes through the point (9, -4) and has a slope of 3/5?

Answer 1

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 2

`(y+4)=(3)/(5)(x-9)`.

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.

`(y-y_1)=m(x-x_1)`, where,

m = Slope of line,

`(x_1,y_1)`= Coordinates of the point on the line.

Upon substituting our given values in above formula, we will get:

`(y--4)=(3)/(5)(x-9)`

`(y+4)=(3)/(5)(x-9)`

Therefore, our required equation would be
`(y+4)=(3)/(5)(x-9)`.