Match the description with the correct symbolic expression.
-a linear equation whose graph has $x$-intercept $- 5$ and $y$-intercept 11
A) $- 11 x + 5 y = 55$
B) $x = 11$
C) $y = 11 x + 55$
D) $f ( x ) = - 5$

Question

Quizplus · Accepted Answer

The equation of a line can be written in the form $Ax + By = C$, where $A$, $B$, and $C$ are constants. The $x$-intercept occurs when $y=0$, and the $y$-intercept occurs when $x=0$. For an $x$-intercept of $-5$, we substitute $y=0$ and solve for $x$, giving us $x=-5$. For a $y$-intercept of $11$, we substitute $x=0$ and solve for $y$, giving us $y=11$. Option A, $-11x + 5y = 55$, correctly represents a line that would pass through these intercepts, as substituting $x=0$ yields $y=11$ and substituting $y=0$ yields $x=-5$.

Match the Description with the Correct Symbolic Expression xxx -Intercept −5- 5−5

Match the Description with the Correct Symbolic Expression $x$ -Intercept $- 5$