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Write the equation of the line in slope intercept form that fits the following conditions.

a. A line passing through (3, -2) with a slope of 5​

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The slope-intercept form of a line is given by the equation: y = mx + b, where m represents the slope and b represents the y-intercept.

In this case, we are given that the line passes through the point (3, -2) and has a slope of 5. We can substitute these values into the slope-intercept form to find the equation of the line.

Using the point-slope form:

y - y₁ = m(x - x₁), where (x₁, y₁) = (3, -2) and m = 5.

Substituting the values:

y - (-2) = 5(x - 3)

Simplifying:

y + 2 = 5x - 15

Now, let's rearrange the equation to the slope-intercept form:

y = 5x - 15 - 2

y = 5x - 17

Therefore, the equation of the line in slope-intercept form that fits the given conditions is y = 5x - 17.

User Serge Vinogradoff
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