An equation in point-slope form that passes through point P(a,b) is as follows:
y-b=m(x-a) where m=slope, a,b are coordinates of point P.
For a line to pass through P(4,-8)
the equation will look like:
y-(-8) = m(x-4)
simplify left side
y+8=m(x-4)
The given equation has a slope of m=-1/2, so the slope of a line perpendicular to it has a slope of -1/m = -1/(-1/2)=+2
Now go through the answer choices:
a. y+8=2(x-4) => passes through P(4,-8) and has a slope of 2. so TRUE
b. y-4=2(x+8) => has a slope of 2, but passes through (-8,4), which is not P so FALSE
c. y+8=(1/2)(x-4) => passes through P(4,-8), but has the wrong slope (a reflection, not perpendicular) so FALSE
d. y-8=(1/2)(x+4) => passes through a wrong point (-4,8) and has the reflected slope (not perpendicular) so FALSE
Based on the Pythagorean Theorem, you can use the formula,
a^2 + b^2 = c^2, to find the longest side of a right triangle. When you look at the coordinate plane, you see point (4,-6) and (7,3) are the points for the longest side (c). Then the rise and run would be (a) and (b).
The formula is d = <span>√(x2-x1)^2 + (y2-y1)^2
d = </span><span>√(7-3)^2 + (3-(-6))^2
d = </span><span>√3^2 + 9^2
d = </span><span>√9 + 81
</span>d = <span>√ 90
</span>d = 3<span>√10 or 9.49</span><span>
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Answer:
The point on the y-axis is (0,-3) and the point on the x-axis is (6,0)
Step-by-step explanation:
Start by plotting -3 on the y-axis
Then move up 1 and over 2 from there
Answer:
38.4
Step-by-step explanation:
We have 8/2.5=3.2 What does this mean? Well, it means that (if the miles are porportional to the dogs) that means he will see 3.2 as many dogs. So, we have 12*3.2=38.4, or 38 if the homework is asking for a rounded number. Hope I helped!
Answer:
47/14 is a mixed number i think