Write the equation of a line that goes through point (0,-8) has a slope of 0
2 answers:
The equation of a line that goes through point (0,-8) has a slope of 0 is
<u>Solution:</u>
Given, the slope of line passing through (0, -8) is 0
Point- slope form of a line is
where m is the slope;
On substituting the values we get,
Thus, the required equation is
Slope:
The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line.
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Answer:
1)
2)
3)
Step-by-step explanation:
We want to write the equation of the line that passes through the points (7, -4) and (-1, 3) first in point-slope form and then in slope-intercept form.
1)
First and foremost, we will need to find the slope of the line. So, we can use the slope-formula:
Let (7, -4) be (x₁, y₁) and let (-1, 3) be (x₂, y₂). Substitute them into our slope formula. This yields:
Subtract. So, our slope is:
2)
Now, let's use the point-slope form:
We will substitute -7/8 for our slope m. We will also use the point (7, -4) and this will be our (x₁, y₁). So, substituting these values yield:
Simplify. So, our point-slope equation is:
3)
Finally, we want to convert this into slope-intercept form. So, let's solve for our y.
On the right, distribute:
Subtract 4 from both sides. Note that we can write 4 using a common denominator of 8, so 4 is 32/8. This yields:
Subtract. So, our slope-intercept equation is:
And we're done!
Answer:
Step-by-step explanation:
where f(x) is replaced by y
Take Laplace on both sides
We can resolve into partial fraction to get Y = L(y)
Let this equals
Solving we get
s=-9
24C = 10 or C =5/12
s=-2: A=10/12=5/6
s=-4: B = -5/4
Taking inverse Laplace