What is the y-intercept of the equation y=3/2x+6?

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

5 0

Answer:

(0, 6)

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope
b - y-intercept

Step-by-step explanation:

Step 1: Define

y = 3/2x + 6

Step 2: Break Function

Identify Parts

Slope m = 3/2

y-intercept b = 6

You might be interested in

Ed is planning daily walking workouts on the same distance of 12 km in the morning and in the evening. Usually he is walking at

dezoksy [38]

Answer:

5 km/h

Step-by-step explanation:

Let x km/h be Ed's rate in the evening, then x+1 km/h is his rate in the morning. It takes him

$\dfrac{12}{x+1}$ hours in the morning to pass 12 km;
$\dfrac{12}{x}$ hours in the evening to pass 12 km.

In total, it takes him 5 hours 24 minutes ( $5\dfrac{24}{60}=5.4$ hours), then

$\dfrac{12}{x+1}+\dfrac{12}{x}=5.4.$

Solve this equation:

$\dfrac{12x+12(x+1)}{(x+1)x}=5.4,\\ \\12x+12x+12=5.4x^2+5.4x,\\ \\5.4x^2 -18.6x-12=0,\\ \\54x^2-186x-120=0,\\ \\9x^2 -31x-20=0,\\ \\D=(-31)^2-4\cdot 9\cdot (-20)=1,681=41^2,\\ \\x_{1,2}=\dfrac{-(-31)\pm\sqrt{41^2}}{2\cdot 9}=\dfrac{31\pm41}{18}=-\dfrac{5}{9},\ 4\ km/h.$