Final answer:
The linear equation in point slope form that passes through the points (4, 1) and (-2, -4) is y - 1 = (5/6)(x - 4).
Step-by-step explanation:
To write the linear equation in point slope form, we can use the formula: y - y1 = m(x - x1). Where (x1, y1) represents one of the given points on the line and m is the slope of the line.
First, let's find the slope using the formula: m = (y2 - y1) / (x2 - x1). Substituting the coordinates (-2, -4) and (4, 1) into the formula will give us: m = (-4 - 1) / (-2 - 4) = -5 / -6 = 5/6.
Now that we have the slope, we can choose one of the given points, (4, 1), and substitute its coordinates into the point slope form equation: y - 1 = (5/6)(x - 4). This is the linear equation in point slope form that passes through the points (4, 1) and (-2, -4).
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