Questions: (0,-3), m=3/5 1 of 2: Find the equation of the line for the y-intercept and slope given above.

(0,-3), m=3/5 1 of 2: Find the equation of the line for the y-intercept and slope given above.
Transcript text: \[ (0,-3), m=\frac{3}{5} \] 1 of 2: Find the equation of the line for the $y$-intercept and slope given above.
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Solution

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Solution Steps

To find the equation of the line given a point \((0, -3)\) and a slope \(m = \frac{3}{5}\), we can use the slope-intercept form of a line, which is \(y = mx + b\). Here, \(b\) is the y-intercept, which is given as \(-3\). We can directly substitute the slope \(m\) and the y-intercept \(b\) into the equation.

Step 1: Identify the Given Values

We are given the slope \( m = 0.6 \) and the y-intercept \( b = -3 \).

Step 2: Use the Slope-Intercept Form

The slope-intercept form of a line is given by: \[ y = mx + b \] Substituting the given values \( m = 0.6 \) and \( b = -3 \) into the equation, we get: \[ y = 0.6x - 3 \]

Final Answer

\[ y = \frac{3}{5}x - 3 \]

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