Answer:
y = -4x - 6
Step-by-step explanation:
slope-intercept form: y = mx + b
Given: Slope: -4
Point: (-2, 2)
To write an equation in slope-intercept form, we need to know the slope(m) and the y-intercept(b). Since we were given the value of the slope, all we have to do now is find b. To do this, input the given values of m and the point into the equation and solve for b:
y = mx + b
2 = -4(-2) + b
2 = 8 + b
-6 = b
The y-intercept is -6.
Now that we know the slope and the y-intercept, we can write the equation:
y = -4x - 6
Around 108 times hope this helps :D
Answer:
x > 3
Step-by-step explanation:
Given
2(4 + 2x) < 5x + 5 ← distribute left side
8 + 4x < 5x + 5 ( subtract 5 from both sides )
3 + 4x < 5x ( subtract 4x from both sides )
3 < x ⇒ x > 3
Answer:
For Example: Evaluate a2b for a = –2, b = 3, c = –4, and d = 4.
Step-by-step explanation:
To find my answer, I just plug in the given values, being careful to use parentheses, particularly around the "minus" signs. Especially when I'm just starting out, drawing the parentheses first may be helpful:
a2 b
( )2 ( )
(–2)2 (3)
(4)(3)
12
Note how using parentheses helped me keep track of the "minus" sign on the value of a. This was important, because I might otherwise have squared only the 2, ending up with –4, which would have been wrong.
By the way, it turned out that we didn't need the values for the variables c and d. When you're given a big set of expressions to evaluate, you should expect that there will often be one or another of the variables that won't be included in any particular exercise in the set.
Evaluate a – cd for a = –2, b = 3, c = –4, and d = 4.
In this exercise, they've given me extra information. There is no b in the expression they want me to evaluate, so I can ignore this value in my working:
(–2) – (–4)(4)
–2 – (–16)
–2 + 16
16 – 2
14
