Questions: Use the slope-intercept form of the linear equation to write the equation of the line with the given slope and y-intercept. Slope -3 ; y intercept (0, 4/5) The equation is (Type your answer in slope-intercept form.)

Use the slope-intercept form of the linear equation to write the equation of the line with the given slope and y-intercept. Slope -3 ; y intercept (0, 4/5) The equation is (Type your answer in slope-intercept form.)
Transcript text: Use the slope-intercept form of the linear equation to write the equation of the line with the given slope and $y$-intercept. \[ \text { Slope }-3 ; y \text { intercept }\left(0, \frac{4}{5}\right) \] The equation is $\square$ (Type your answer in slope-intercept form.)
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Solution

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Solution Steps

To write the equation of a line in slope-intercept form, we use the formula \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. Given the slope \( m = -3 \) and the y-intercept \( b = \frac{4}{5} \), we can directly substitute these values into the formula to get the equation of the line.

Step 1: Identify the Slope and Y-Intercept

The slope of the line is given as \( m = -3 \) and the y-intercept is given as \( b = \frac{4}{5} \).

Step 2: Write the Equation in Slope-Intercept Form

Using the slope-intercept form of a linear equation, which is expressed as \( y = mx + b \), we substitute the values of \( m \) and \( b \): \[ y = -3x + \frac{4}{5} \]

Final Answer

The equation of the line is \(\boxed{y = -3x + \frac{4}{5}}\).

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