Answer:
x = 2 → (2, 0)
Explanation:
The slope-intercept form of an equation of a line:
y = mx + b
m - slope
b - y-intercept (0, b)
We have the slope m = -3/2 and the y-intercept b = 3.
Substitute:
y = -3/2x + 3
The x-intercept is for y = 0. Substitute:
0 = -3/2x + 3 add 3/2x to both sides
3/2x = 3 multiply both sides by 2
3x = 6 divide both sides by 3
x = 2