Final answer:
Using the slope-intercept form, the equation of the line with a slope of 3/2 will be y = (3/2)x - 11.
Step-by-step explanation:
To write an equation in Ax+By=C form for a line, we need to use the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.
Given that the line passes through (10, 4) and has a slope of 3/2, we can substitute these values into the slope-intercept form:
y = (3/2)x + b
We can now substitute the coordinates of the given point into this equation to solve for b:
4 = (3/2)(10) + b
4 = 15 + b
b = 4 - 15
b = -11
Finally, substituting the values of m and b into the slope-intercept form, we get the equation:
y = (3/2)x - 11.