Answer:
Slope = 2/3
intercept= 1/3
Explanation:
The standard form of equation of a line in slope intercept form is expressed as;
y = mx+b
m is the slope
b is the y-intercept
Given the expression
y-3=2/3(x-4)
Cross multiply
3(y-3)=2(x-4)
Expand
3y - 9 = 2x - 8
3y - 2x = -8 + 9
3y - 2x = 1
3y = 2x+1
Divide through by 4
y = 2/3 x + 1/3
Comparing
mx = 2/3 x
m = 2/3
b = 1/3
Hence the slope of the function is 2/3 and the intercept is 1/3