To find the equation of the line in slope-intercept form (y = mx + b) that passes through the points (0, 2.3) and (5, -1.9), we need to determine the slope (m) and the y-intercept (b).
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Calculate the slope (m) using the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Here, \((x_1, y_1) = (0, 2.3)\) and \((x_2, y_2) = (5, -1.9)\): \[ m = \frac{-1.9 - 2.3}{5 - 0} = \frac{-4.2}{5} = -0.84 \]
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Determine the y-intercept (b). Since the line passes through the point (0, 2.3), the y-intercept \(b\) is 2.3.
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Write the equation in slope-intercept form: \[ y = mx + b \implies y = -0.84x + 2.3 \]
Thus, the equation of the line in slope-intercept form is: \[ y = -0.84x + 2.3 \]
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