Answer:
-5
Step-by-step explanation:
Remember the slope intercept form:
y = mx + b
m = Slope value
b = y-intercept
So in this case,
y = (-5)x + b
m = -5
b = 1
Thus the answer is -5
Answer:
x = 10
Step-by-step explanation:
A triangle's angles add up to 180 degrees, so 180-90 (the right angle) is 90 degrees. That means that
4x+6+3x+14 = 90. Then we simplify so
7x + 20 = 90. Then we can subtract 20 from each side so
7x = 70. Then, we find that
x = 10.
If Jim's age = j
j = 3x + 2
Answer:
1.5 and 4.4
Step-by-step explanation:
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Answer:
Step-by-step explanation:
The form, y = mx + b is the slope intercept form of a straight line.
Where b = intercept
m = slope = (change in the value of y in the vertical axis) / (change in the value of x in the horizontal axis.
Slope = (y2 - y1)/(x2 - x1)
y2 represents final value of y = - 3
y1 represents initial value of y = 3
x2 represents final value of x = 3
x1 represents initial value of x = 0
Therefore,
slope = (- 3 - 3)/(3 - 0) = - 6/3 = - 2
To determine the intercept, we would substitute m = - 2, x = 3 and y = -3 into y = mx + b. It becomes
- 3 = - 2 × 3 + b = - 6 + b
b = - 3 + 6 = 3
The equation becomes
y = - 3x + 3