6. Write an equation for the line that is parallel to the given line and that passes through the given point. 3
y =
X-9; (-8. -18)
3
11
y-Ž**ZH
y-
**-12
F
y = $x-12
y=-x+12
G
J

The equation of new line is:

Option H is correct.

Step-by-step explanation:

We need to write an equation for the line that is parallel to the given line and point (-8,-18)

The equation of required line will in in form where m is slope and b is y-intercept.

We need to find slope m and b y-intercept for new line.

Finding slope:

When two lines are parallel, they have the same slope.

The slope of given line can be found by comparing the equation with

So, m = 3/4

The slope of new line will be:

Finding y-intercept:

Using slope m = 3/4 and point (-8,-18) we can find y-intercept

So, y-intercept is b=-12

The equation of new line having m = 3/4 and b=-12 is:

So, the equation of new line is:

Option H is correct.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

50

step-by-step explanation: