Answer: y = 4x-3
slope = 4, y intercept = -3
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m = 4 is the slope
is the point the line goes through
Using point slope form, we can say,
The equation is in slope intercept form y = mx+b
m = 4 = slope
b = -3 = y intercept
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As an alternative, you can use y = mx+b to get the same answer. We'll plug in m = 4 and (x,y) = (-2,-11) to solve for b
y = mx+b
-11 = 4(-2)+b
-11 = -8+b
-11+8 = -8+b+8
-3 = b
b = -3 we get the same y intercept value as above
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To check the answer, plug x = -2 into the equation. We should get y = -11
y = 4x-3
y = 4(-2)-3
y = -8-3
y = -11 we get the proper y value. The answer is confirmed.
Answer:
x=0.6241
Step-by-step explanation:
Square both sides and end up with
75.24+x=75.8641
isolate x
x=75.8641 - 75.24
x=0.6241
Answer:
There are many different types of expressions.
To factor expressions with variables, the first thing is to <u>take out any common factors always</u> across all terms.
Ex: 5x + 15
= 5(x + 3)
To factor trinomials with one variable (standard form): 
, after taking out the common factor if there is one, you can:
i) Use the quadratic formula. 
ii) Decomposition (factors of a and c multiply and added to give b)
Ex: 2x² - 7x + 3 2 * -3 = -6
(2 -1 ) 1 * -1 = -1
(1 -3 ) -6 + -1 = -7
=(2x-1)(x-3)
Trinomials with two variables like: ax² + bxy + cy² = 0
Use decomposition but include the second variable.
Ex: 2x² - 7xy + 3y² 2 * -3 = -6
(2 -1 ) 1 * -1 = -1
(1 -3 ) -6 + -1 = -7
=(2x-1y)(x-3y)
When a square value is being subtracted from another square value.
Difference of squares: 
= (√x² - √y²)(√x² + √y²)
Ex: 36x² - k²
= (6x - k)(6x + k)
Answer:
5544 miles per hour
Step-by-step explanation:
5544 miles per hour, because 1 hour is 72 miles so x 77 hours is 5544 miles per hour.
Answer:
.7% of the people had a mild allergic reaction
Step-by-step explanation:
42/6000 = .007
To turn the decimal into a percent, you need to move the decimal 2 spaces to the right.
.007 → 00.7 → .7%
