QQuestionAnatomy and Physiology
QuestionAnatomy and Physiology
Complete the equation for the standard form of the line that has an x-intercept of 3 and a y-intercept of 5.
5
x +
3
y =
15
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Answer
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Step 1:Identify intercepts
The line crosses the x-axis at 3 and the y-axis at 5.
Step 2:Write intercept points
(3, 0), (0, 5)
The x-intercept is at (3, 0), and the y-intercept is at (0, 5).
Step 3:Find slope using intercepts
\frac{5 - 0}{0 - 3} = -\frac{5}{3}
The slope is calculated using the two intercept points.
Step 4:Write equation in slope-intercept form
y = -\frac{5}{3}x + 5
Substitute the slope and y-intercept into the slope-intercept form.
Step 5:Convert to standard form
5x + 3y = 15
Multiply both sides by 3 and rearrange to get the standard form.
Final Answer
5x + 3y = 15
The standard form of the line is 5x + 3y = 15.
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