Answer:
There are an infinite number of points on this graph. Two of them would be (1, 3) and (0, 0).
Step-by-step explanations:
In order to find any points on the graph, simply put the x value in to get the y value.
f(x) = 3x^4
f(x) = 3(1)^4
f(x) = 3(1)
f(x) = 3
(1, 3)
And then for the second point.
f(x) = 3x^4
f(x) = 3(0)^4
f(x) = 3(0)
f(x) = 0
(0, 0)
Answer:
y - 2 = (-3/7)(x + 5)
Step-by-step explanation:
Recall that the slopes of a line and another line perpendicular to the first are negative reciprocals.
The slope of the given line is 7/3. The negative reciprocal of that is -3/7. Thus, we immediately eliminate the fourth answer choice.
We must now find the equation of the perpendicular line, with slope -3/7, that passes through (-5, 2). We'll do that using the point-slope formula for the equation of a straight line.
That formula is y - k = m(x - h), where m is the slope and (h, k) is the given point.
Substituting 2 for k, -5 for h and -3/7 for m, we get:
y - 2 = (-3/7)(x + 5). This matches the 3rd given possible answer.
