Which equation represents a line that passes through (4, 5) and has a slope of 3/4

y = 3/4x + 2

Step-by-step explanation:

y = mx + c is the formula to find the equation

to find a equation we should have a point and a gradient ( m )

now, point = (4 , 5) m = 3/4

then we sub the point and the gradient (m) into the equation formula

y=mx + c

5 = 3/4 (4) + c

5 = 3 + c

5 - 3 = c

2 = c

c = 2

now we rewrite the equation become y= 3/4x + 2

-14

step-by-step explanation:

2x2 – 2(x+4)

=2x2-2（5+4）

=4-2×9

=4-18

=-14

since we know that the two functions are equal, f (x) = g

(x), therefore when we equate the two equations the result should be similar to

3x = x – 4:

a. f(x) = 3x, g(x) = x – 4

equating the two functions:

3x = x – 4             (correct)

so we now got our answer (a)