find the x - and y - intercepts of the line 10x - 12y = 15. write your answers as integers or as simplified…

find the x - and y - intercepts of the line 10x - 12y = 15. write your answers as integers or as simplified proper or improper fractions, not as ordered pairs. x - intercept: y - intercept:

find the x - and y - intercepts of the line 10x - 12y = 15. write your answers as integers or as simplified proper or improper fractions, not as ordered pairs. x - intercept: y - intercept:

Answer

Explanation:

Step1: Find x - intercept (set (y = 0))

Substitute (y = 0) into (10x-12y = 15). We get (10x-12\times0=15), which simplifies to (10x=15). Then (x=\frac{15}{10}=\frac{3}{2}).

Step2: Find y - intercept (set (x = 0))

Substitute (x = 0) into (10x - 12y=15). We get (10\times0-12y=15), which simplifies to (-12y = 15). Then (y=\frac{15}{-12}=-\frac{5}{4}).

Answer:

x - intercept: (\frac{3}{2}) y - intercept: (-\frac{5}{4})