Find the slope of the line determined by this pair of points. $( a , 0 ) , ( 0 , b )$
A) $- \frac { b } { a }$
B) $\frac { a } { b }$
C) $- \frac { a } { b }$
D) $\frac { b } { a }$
E)undefined

Question

Quizplus · Accepted Answer

The slope of a line through points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $\frac{y_2 - y_1}{x_2 - x_1}$. Substituting the given points $(a, 0)$ and $(0, b)$ into this formula gives $\frac{b - 0}{0 - a} = -\frac{b}{a}$.

Find the Slope of the Line Determined by This Pair (a,0),(0,b)( a , 0 ) , ( 0 , b )(a,0),(0,b)

Find the Slope of the Line Determined by This Pair $( a , 0 ) , ( 0 , b )$