Question

the x coordinate of the point of intersection A of the 2 lines (not drawn to scale) is...

Answer 1

One line is given by the equation:\[y = x\] because it starts at the origin and has a slope of 1 (given by the 45 degree angle)
The second line is given by:\[y = -\frac{3}{9}x+3 = -\frac{1}{3}x+3\]because its slope is -3/9 and its y-intercept is 3. Now solve for where they are equal:\[x = -\frac{1}{3}x+3\]\[\frac{4}{3}x=3\]\[x = \frac{9}{4}\]Then plug in the x value into one of the original equations to find y:\[y= \frac{9}{4}\]

Answer 2

of coarse...thx