Which equation represent the line that passes through the point(-3.4,8.3) and has a slope of 6.5

        y - 8.3 = 6.5(x + 3.4)     {the point-slope form of the equation}

        y = 6.5x + 30.4            {the slope-intercept form of the equation}  

        65x - 10y = - 304            {the standard form of the equation}

Step-by-step explanation:

The point-slope form of equation is: y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope.

m = 6.5

(-3.4, 8.3)    ⇒   x₀ = -3.4,  y₀ = 8.3

The point-slope form of the equation:

y - 8.3 = 6.5(x + 3.4)

So:

y - 8.3 =  6.5x + 22.1         {add 8.3 to both sides}

y = 6.5x + 30.4             ←  the slope-intercept form of the equation

 y - 6.5x = 30.4                   {multiply both sides by (-10)}

65x - 10y = - 304               ←  the standard form of the equation

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step-by-step explanation: