Final answer:
The equation for the line that passes through the coordinates (2,0) and (0,3) in y-intercept form is y = (-3/2)x + 3.
Step-by-step explanation:
To find the equation in y-intercept form, we need to determine the slope and the y-intercept of the line passing through the given coordinates.
Slope (m) = (y2 - y1) / (x2 - x1) = (3 - 0) / (0 - 2) = -3/2
Using the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept, we can substitute the values into the equation:
y = (-3/2)x + b
To solve for b, we can substitute the coordinates of either point into the equation. Using (2, 0):
0 = (-3/2)(2) + b
b = 3
Therefore, the equation in y-intercept form is y = (-3/2)x + 3.