Answer:
y = x + 8
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 )
here m = , then
y = x + c ← is the partial equation
to find c substitute (- 4, 5 ) into the partial equation
5 = - 3 + c ⇒ c = 5 + 3 = 8
y = x + 8 ← equation of line
Answer:
Option C,
Step-by-step explanation:
We can find the correct answer by plugging in the x and y values of a point on the graph into each option, then finding the one that gives a true statement as a result.
For example, one point on the graph is (30,4). We can substitute 30 for the x and 4 for the y in option C's equation, . Then, simplify:
4 does equal 4, so when we substitute a point from the graph into this equation, the result is a true statement. Thus, option C is the answer.
Answer:
Lines 3 and 4
Step-by-step explanation:
Let's examine the slope of each of the given lines to have the exact value and be able to answer the question. We use the definition of:
Line 1:
Line 2:
Line 3:
Line 4:
Line 5:
Therefore the lines that have slope strictly greater than 1 and less than 2 are:
Lines 3 and 4
It looks like the differential equation is
Multiply both sides by 1/(<em>x</em> + 1) :
The left side is now a derivative of a product,
Integrate both sides with respect to <em>x</em> :
Solve for <em>y</em> :