Answer:
5/2
Step-by-step explanation:
We first find the equation of the line. The slope-intercept form of a line is y = mx + b, where b is the y-intercept and m is the slope. We already know the y-intercept, which is (0,5). Therefore, our current equation is:
y = mx + 5.
We use (0,5) and (1,3) to find the slope. We subtract the two y-coordinates, 5 - 3 = 2. We subtract the x-coordinates, 0 - 1 = - 1. The slope is given as rise/run, which is (y-coordinate difference)/(x-coordinate difference. Thus, the slope is 2/-1, which is just -2. Now, we put -2 in place of m:
y = -2x + 5.
The x-intercept is when the y-coordinate is equal to 0. So we substitute 0 for y:
0 = -2x + 5
-5 = -2x
x = 5/2
