Find the slope first
slope=(2-1)/(-1+3)=1/4=.25
now use the slope and either point to write in point slope form
y-1=.25(x-2)
y-1=¼x-½
to rationalize all the denominators multiply by the last common multiple, here we get 4
4y-4=x-2
then put in the correct order
x-4y=-2
Answer:
y-5 = -6(x+3) OR y = -6x-13
Step-by-step explanation:
Let's use slope-intercept form to solve this problem.
Slope intercept form is the following:
y-y1 = m(x-x1)
x1 and y1 are given by the point in the problem.
x1 = -3, y1 = 5.
m is given by the equation in the problem. Lines that are parallel have the same slope. Thus,
m = -6.
If we plug these values into the equation for slope intercept form, we get the following:
y-5 = -6(x-(-3)) which becomes y-5 = -6(x+3)
This is an acceptable answer to the problem. However, point-slope form is also a way it can be written.
y-5 = -6x-18
y = -6x-13
Answer:
Options (B) and (D)
Step-by-step explanation:
If two triangles have the same size and shape they are said to be congruent triangles.
Triangles given in the attachment,
Triangles A and E appear to be congruent.
And triangles C and F appear to be congruent.
[Since corresponding sides of these triangles don't appear to be the same in measure]
Remaining triangles B and D do not appear to be congruent.
Therefore, Options (B) and (D) will be the answer.
Answer:
d = 11
Step-by-step explanation:
Isolate the variable (d). Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 5 to both sides
2d - 5 (+5) = 17 (+5)
2d = 17 + 5
2d = 22
Next, divide 2 from both sides
(2d)/2 = (22)/2
d = 22/2
d = 11
11 is your answer for d.
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