8) Find the midpoint of the equation y = 4x + 6 between the x-intercepts and the y-intercepts.
1 answer:
9514 1404 393
Answer:
(-3/4, 3)
Step-by-step explanation:
I find it easier to determine the intercepts when the equation is in standard form:
4x -y = -6
The x-intercept is found where y=0:
4x = -6 ⇒ x = -6/4 = -3/2
The y-intercept is found where x=0:
-y = -6 ⇒ y = 6
Then the midpoint is ...
M = ((-3/2, 0) +(0, 6))/2 = (-3/4, 3)
You might be interested in
Answer:
Step-by-step explanation:
The slope-intercept form of an equation of a line:
m - slope
b - y-intercept → (0, b)
From the graph we have the points (4, 4) and (0, 3) → b = 3.
We have the equation:
The formula of a slope:
Put the coordinates of the points:
Finally we have:
