25 points help please just give the y intercept and slope
1 answer:
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Answer:
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: where m is the slope and b is the y-intercept (the value of y when x is 0).
<u>1) Determine the slope (m)</u>
where two points on the line are
and
In the graph, the points (-3,-6) and (2,-2) are plotted clearly, so we can use these to help us find the slope. Plug them into the equation:
Therefore, the slope of the line is . Plug this into
:
<u>2) Determine the y-intercept (b)</u>
Typically, given a graph, we could look at where exactly the line crosses the y-axis to determine b. However, because it appears ambiguous on this graph, we must solve it algebraically.
Plug in one of the given points (2,-2) and solve for b:
Subtract from both sides to isolate b
Therefore, the y-intercept of the line is . Plug this back into
:
I hope this helps!
Answer:
Step-by-step explanation:
First step: I'm going to solve our substitution for y:
Multiply both sides by x:
Second step: Differentiate the substitution:
Third step: Plug in first and second step into the given equation dy/dx=f(x,y):
We are going to simplify what we can.
Every term in the fraction on the right hand side of equation contains a factor of so I'm going to divide top and bottom by
:
Now I have no idea what your left hand side is suppose to look like but I'm going to keep going here:
Subtract u on both sides:
Find a common denominator: Multiply second term on right hand side by :
Combine fractions while also distributing u to terms in ( ):
Third step: I'm going to separate the variables:
Multiply both sides by the reciprocal of the right hand side fraction.
Divide both sides by x:
Reorder the top a little of left hand side using the commutative property for addition:
The expression on left hand side almost matches your expression but not quite so something seems a little off.