Answer:
y = 3x -8
Step-by-step explanation:
I find it convenient to start with a version of the point-slope form of the equation for a line. That is, for point (h, k) and slope m, ...
y = m(x -h) +k
For your m=3 and (h, k) = (3, 1), this equation becomes ...
y = 3(x -3) +1
Eliminating parentheses puts this in the form you desire:
y = 3x -8
Answer:
ln(5/3)
Step-by-step explanation:
The desired limit represents the logarithm of an indeterminate form, so L'Hopital's rule could be applied. However, the logarithm can be simplified to a form that is not indeterminate.
<h3>Limit</h3>We can cancel factors of (x-1), which are what make the expression indeterminate at x=1. Then the limit can be evaluated directly by substituting x=1.
Answer:
Parallel
Step-by-step explanation:
In the slope-intercept form (y=mx +c), the coefficient of x tells us the slope of the line.
2x +8y= 56
Let's rewrite this equation into the slope-intercept form.
8y= -2x +56
Dividing both sides by 8:
Slope= -¼
y= -¼x -5
Slope= -¼
Since both lines have the same slope, they are parallel to each other.