Use the Intercept Form to Find the Equation of the Line

question 54

Multiple Choice

Use the intercept form to find the equation of the line with the given intercepts.The intercept form of the equation of a line with intercepts (a,0) and (0,b) is? $\frac { x } { a } + \frac { y } { b } = 1 , a \neq 0 , b \neq 0$ ? ?
X-intercept: ( $- \frac { 5 } { 8 }$ ,0)
Y-intercept: $( 0 , - 3 )$ ?
?

• A) \(- 24 x - 8 y - 5 = 0\)
• B) \(24 x + 8 y - 5 = 0\)
• C) \(- 24 x + 8 y + 5 = 0\)
• D) \(24 x + 5 y + 15 = 0\)
• E) \(24 x - 8 y + 5 = 0\)

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Definitions:

Empirically Tested

Evaluated or tested based on observations or experience rather than theory or pure logic.

Confirmation Bias

The tendency to search for, interpret, favor, and recall information in a way that confirms one's preexisting beliefs or hypotheses.

Principle of Falsifiability

A criterion for scientific theories, asserting that for a theory to be considered scientific, it must be testable and potentially refutable.

Critical Thinking

The objective analysis and evaluation of an issue in order to form a judgment.