Line cd passes through points c(1, 3) and d(4, –3). if the equation of the line is written in slope-intercept form, y = mx + b, what is the value of b?
–5
–2
1
5

option D is correct

b = 5

Step-by-step explanation:

Given that:

Line CD passes through points C(1, 3) and D(4, –3).

Find slope CD(m):

Formula for slope:

Substitute the given points we have;

then;

Substitute the point (1, 3)  to solve for b;

3 = -2(1) +b

3 = -2+b

Add 2 to both sides we have;

5= b

or

b = 5

An equation of line CD in slope-intercept form is;

Therefore, the value of b is, 5

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !