Respuesta :
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:
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.