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

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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.

, where,

m = Slope of line,

= Coordinates of the point on the line.

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

Therefore, our required equation would be .

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )