Point slope: y - y1 = m(x - x1), m is the slope
first picture
points (-4,-1) and (3,-3)
the slope between these points is
slope = (-3 - 1)/( 3 - (-4) ) = -2/7
if (x1, y1) = (-4, -1), then the slope-point form is
y + 1 = -2/7(x + 4)
___________
second picture (horizontal line)
from the graph, the slope is 0 because there is no rise for a horizontal line.
if (x1, y1) = (-2, 1), then the point slope form is
y - 1 = 0(x + 2)
_____________
third picture
from the graph, we have points (-2,2) and (2,-2) on the line. the slope is
slope = (-2 - 2)/(2 - (-2) ) = -1
if (x1, y1) = (-2,2), then point slope form is
y - 2 = -1(x + 2)
______________
fourth picture
if points (-2,-1) and (2,1) are on the graph, then slope is
slope = (1 - (-1) ) / (2 - (-2) ) = 1/2
with (x1, y1) = (-2,-1), the point slope form is
y + 1 = 1/2(x + 2)
_______________
fifth picture
we have points (-1,-2) and (1,2). the slope is
slope = (2 - (-2) ) / (1 - (-1) ) = 2
with (x1, y1) = (1,2), the point slope form is
y - 2 = 2(x - 1)
Answer:
Options c and d
Step-by-step explanation:
Given is a graph with period pi.
ii) The graph is discontinuous
iii) x intercepts are say (a) units to the right of y axis and repeats for every interval of pi.
Fix the function
a) y = sinx cannot be this graph because sinx is a continuous graph
b) y =cosx cannot be this graph because cosx is a continuous graph
e) y = sec x is undefined for the range (-1,1) since the given graph is defined in this interval, secx is not answer.
f)y = csc x is undefined for the range (-1,1) since the given graph is defined in this interval, cscx is not answer.
c) y=tanx is a discontinuous graph at x = odd multiples of pi/2
Hence the given graph can be of the form y =- tan (2x+a) which shows reflection over y axis,
d) y = cotx can also be this graph with adjustments for period and horizontal shift.
So answers are c and d
After solving the equation we get y=2 when x = 15
Step-by-step explanation:
We need to complete the solution of the equation 
We need to find value of y when x equals -15
For finding value of y, we will put value of x= -15 in the given equation:
Adding -15 on both sides
Divide both sides by -8
So, After solving the equation we get y=2 when x = 15
Keywords: Solving Equations
Learn more about Solving Equations at:
#learnwithBrainly
Answer:
x +3
Step-by-step explanation:
You can solve this by factoring.
The numbers have to add to 10 and multiply to 21.
The first numbers that should come to mind are 7 and 3
(x+3)(x+7)
x+3 is the shorter side and there you go :)
