Chapter 5 - Linear Functions - 5-5 Standard Form - Practice and Problem-Solving Exercises - Page 327: 60

$-5x + y = 13$

Work Step by Step

The equation given is in point-slope form, which is given by the formula: $y - y_1 = m(x - x_1)$ Therefore, we can see that $5$ is the slope for the given equation and is also the slope for the graph we are looking for. Since we now have a point on the graph and the slope of the graph, we can now plug in these values into point-slope form: $y - (-7) = 5(x - (-4))$ Let's simplify the operations: $y + 7 = 5(x + 4)$ We need to rewrite this equation in standard form ($Ax + By = C$). First, we need to use the distributive property on the right side of the equation: $y + 7 = 5x + 20$ $-5x + y + 7 = 20$ Now, we move constants to the right side of the equation by subtracting $7$ from both sides of the equation: $-5x + y = 13$

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