Orthonormal system

Points

100

what is the y intercept in the equation y=-4x-5

-5

200

what is the coordinates of the midpoint of the line joining A(3,-2) and B(1,2)

(2,0)

300

The point (2,1) is the midpoint of a line segment whose endpoints are (3,2) and (1,b). What is the value of b?

zero

400

what is the abscissa of the point found on the line y=-2x+5 having ordinate 4

1/2

500

What are the x-intercept & y-intercept of 

2x + y = 2?

y = 0, x-intercept = 1

x = 0, y-intercept = 2

Slope

100

What is the slope of the following line

y=4x−2

4

200

what is the slope of (d): x=3

undefined

300

what can i say about a line with zero slope ?                                     

horizontal

400

What is the slope of the line?

5x+5y=−15

-1

500

What is the slope of the line that is

y=mx+4 and goes through (-2,0)

m = 2

Distance

100

what is the distance between A(-1,1) and B(3,4)

5

200

Find, in exact form, the distance between the points (-1,-2) and (5,0)

√40

300

The distance between the points A(a,0) and B(0,b) is

√(a²+b²)

400

Determine the lengths of the diagonals of the trapezoid with vertices A(–3, 3), B(12, 8), C(7, 6), D(0, 7) to find if it is isosceles.

AC does not equal BD so its not isosceles trapezoid

500

The coordinates of vertices of triangle ABC are given. find the length of its sides. Also check if it is a right triangle. A(–1, 3), B(3, 2) and C(2, –2)

it is right isosceles triangle

Equation of st line

100

find equation of a st line of slope 2 and y intercept 3

y=2x+3

200

find equation of straight line (AB) if A(1,2) and B(3,2)

y=2

300

find equation of AB if A(1,0) and B(1,-1)

X=1

400

An equation of the line that passes through the point (0,1) and whose slope is 2 is... (in slope intercept form)

y=2x+1

500

What is the equation of a line that passes through the point (0,-11) and has the same slope as the line whose equation is y=2x + 4 in slope intercept form?

y=2x-11

Random

100

is the line y = -4x - 7 increasing or decreasing

decreasing

200

The endpoints of the diameter of a circle are (10,-6) and (4,2). Find the length of the radius in simplest radical form.

5

300

Is Triangle ABC has vertices A(2,1) B(4,8) and C(8,-2). Is it isosceles? How do you know?

no and because none of the sides have the same length?

400

The coordinates of quadrilateral ABCD are A(-3,-1), B(3,1), C(7,5), and D(1,3). Do the diagonals bisect each other at right angles?

hint: are the midpoints the same?

yes

500

Find the area of the right triangle with vertices A(-5,3) B(-7,5) and C(-4,8)

6