Answer:
7. <K = <R
8. PR = JK
9. <A = <X
10. TX = AB
For question 7, find the angle that looks the most similar to the angle in the question.
For question 8, since the sides (not the hyp.) are equal, PR will be equal to any of those two.
For question 9, the triangles are positioned differently, but it is the angle with two angle lines on it.
Lastly, for question 10, TX will be the same length as the shortest side in the corresponding triangle.
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
Answer:
I'm going to use the following as an example.
To find the y-intercept, set x equal to 0 then solve for y.
two times zero is zero, so we have the following equation.
Solve for y
Your first point you will graph is (0, 2).
Now solve for the x intercept. To do this, set y = 0.
4(0) = 0, so you can remove it, and solve for x.
Now the next point you have is (4, 0). plot that point. Connect the two points with a line and you are done.
Equation describes a sloping line. For any
equation ax+by+c = 0, slope is .<span>X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 30/5 = 6.Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 30/-3 = -10.Slope is -5/-3 = 1.66666666666667.<span> Equation in slope-intercept form: y=1.66666666666667*x+-10.</span></span>