Question

What is the equation of the line that passes through point (4, 12) and has a y-intercept of —2?

Answer 1

Answer:

y = 3.5x - 2

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y = mx + b

m - slope

b - y-intercept

We have y-intercept b = -2. Substitute:

y = mx - 2

We have the point (4, 12) → x = 4, y = 12. Put them in the equation:

12 = 4m - 2         add 2 to both sides

14 = 4m       divide both sides by 4

14/4 = m → m = 3.5

Answer 2

Answer:

y = 3.5x - 2

Step-by-step explanation:

We know that the y-intercept of our equation is -2, so our current equation is: y = mx - 2. Now we have to find m, which is the slope. Now, we plug in the points into the equation y = mx - 2, and we get 12 = 4m - 2. Thus, m is 3.5. Our final equation is y = 3.5x - 2.