Question

The $x-$intercept of a line is -10. Its $y-$intercept is 4. What is the slope of the line?

• A. $\frac{2}{5}$
• B. $-\frac{2}{5}$
• C. $\frac{5}{2}$
• D. $\frac{-5}{2}$

Answer 1

The correct option is A $\frac{2}{5}$

The $x-$intercept of the line is -10. This means that line passes through the point (-10,0).

The $y-$intercept of the line is 4. This means that line passes through the point (0,4).

Slope of the line $=\frac{Changeiny}{Changeinx}$
Slope of the line $=\frac{4-0}{0-(-10)}=\frac{4}{10}$

Slope of the line $=\frac{2}{5}$