Write an equation that represents the line
Use exact numbers

y = 3/4x + 2

Step-by-step explanation:

For this problem, you need to use slope-intercept form, which tells you the slope and the y-intercept. The formula is y = mx + b, where m is the slope and b is the y-intercept

The first thing you need to do here is find the slope. To do this, use the equation , with points and .

Now you need to find the y-intercept. The y-intercept is the coordinate in which the x-value is zero. In some problems, the y-intercept is given to you, which is really easy since you just need to put the y-value into the equation. In a lot of problems, though, the y-intercept is not given. In that case, pick a point on the line and plug the x-coordinate into the equation for x and the y-coordinate for y and solve.

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

good luck on your studies! : )

david edward.