Questions: Write the equation of this line in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.

Write the equation of this line in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.
Transcript text: Write the equation of this line in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.
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Solution

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Solution Steps

Step 1: Find two points on the line.

Two points on the line are (0, 3) and (4, 0).

Step 2: Calculate the slope.

The slope, m, is given by the formula: m = (y2 - y1) / (x2 - x1) Using the points (0, 3) and (4, 0): m = (0 - 3) / (4 - 0) m = -3/4

Step 3: Determine the y-intercept.

The y-intercept is the point where the line crosses the y-axis. In this case, it is (0, 3), so the y-intercept, b, is 3.

Step 4: Write the equation in slope-intercept form.

The slope-intercept form is y = mx + b. Plugging in the values we found for m and b: y = -3/4x + 3

Final Answer

y = -3/4x + 3

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