Answer:
y = 2x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = A(4, 7) and (x₂, y₂ ) = B(2,3)
m = 
= 
= 2 , thus
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 3), then
3 = 4 + c ⇒ c = 3 - 4 = - 1
y = 2x - 1 ← equation of line
Answer:
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Stepdvds-by-step explanation:
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Answer:
3y= -2x-6
Step-by-step explanation:
The two points on the line are (-3,0) and (0,-2)
so you first get the gradient;
gradient= <u>change in y</u>
change in x
= <u>-2-0</u>
0-(-3)
=<u> -2</u>
3
so the answer above is the gradient
then pick one point that you used to get the gradient with, so as for me I'll pick (-3,0) and then a general point which is always (x, y)
since you have the gradient you can easily get the equation by doing this
<u>y-0</u><u>. </u><u> </u> = <u>-2</u>
x-(-3). 3
then crossmultiply to get the equation of the line
3y= -2(x+3)
3y= -2x-6
Answer:
3√2(5√8-7√3) = 60 - 21√6
Step-by-step explanation:
We need to find the product of 3√2(5√8-7√3). The distributive property states that: A(B+C) = AB + AC.
Then, by using the distributive propertive we have that:
3√2(5√8-7√3) = 3√2 * 5√8 - 3√2 * 7√3 = 15√8√2 - 21√2√3.
Also, we know that: √A√B = √AB. Using this:
15√8√2 - 21√2√3 = 15√16 - 21√6 = 60 - 21√6.
Graph both equations on one coordinate plane. Wherever the equations intersect is your answer.
