Answer:
Parallel Line: y = 3x - 5
Perpendicular Line: y = -1/3x + 25/3
Step-by-step explanation:
The equation given is a linear equation in slope-intercept form, y = mx + b, where m = slope and b = y-intercept. With lines that are parallel to each other, they containt the same slope. So, to form an equation of a line that is parallel to the first equation, the slope = 3. Using the given point (4, 7), x = 4 and y = 7, we can use our slope-intercept form to solve for 'b':
7 = (3)(4) + b or 7 = 12 + b or b = -5
So, our equation for a parallel line would be: y = 3x - 5.
For perpendicular lines, the slope must be the opposite reciprocal of the slope from the first equation. So, if m = 3, than the slope of the perpendicular line must be - 1/3. Using the same point (4, 7) we can use our slope-intercept form to solve for 'b':
7 = (-1/3)(4) + b or 7 = -4/3 + b or b = 25/3
So, our equation for a perpendicular line would be: y = -1/3x + 25/3
Answer: 6,319,635,444
Step-by-step explanation: add both numbers together then round up
If the function is:
y=a cos( bx+c), or y=a sin(x+c)
then the period is T= 2π/b and if T=2:
2=2π/b
b=2π/2=π
Answer: B) y=3 cos πx
Answer:
slope = - 32 , y- intercept = 5
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 )
y = - 32x + 5 ← is in slope- intercept form
with slope m = - 32 and y- intercept c = 5
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