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2 years ago

What is the equation of this graphed line?

Mathematics

2 answers:

Gwar [14]2 years ago

8 0

Y=-9/8x+7 hope it helps my love.

Vladimir [108]2 years ago

4 0

Answer: y=-9/8x+7

Step-by-step explanation:

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Please help!!

Mamont248 [21]

Answer:

(Q.1) No solution

(Q.2) True

(Q.3) x = 4 - 2y

(Q.4) True

========================================

Step-by-step explanation:

(Q.1) As shown in the first attached figure.

By graphing. x + 2y = 8 & x + 2y = -4

The two lines are parallel, there is no intersection points between the lines.

So, there is no solution to the system of equations.

Also, we should note the parallel lines have the same slope

to find it make the equation similar to y = mx + c where m is the slope

at this situation m = -1/2

===================================================

(Q.2) As shown in the second attached figure.

By graphing the system of inequalities y> -3x+2 & y<2x+1

The Shaded area represents the solution of the system of inequalities

And the point (4,2) is inside the shaded area

So, The ordered pair (4,2) is a solution to the system of inequalities.

====================================================

(Q.3)  solving the system { x+2y=4 & 2x+2y=6 } by substitution

From the first equation x + 2y = 4

we will find x in terms of y then plug it into the second equation

So, x + 2y = 4 ⇒ x = 4 - 2y

=====================================================

(Q.4) As shown in the third attached figure.

By graphing. 2x + 4y = 8 & x + 2y = 6

The two lines are parallel, there is no intersection points between the lines.

So, there is no solution to the system of equations.

Also, we should note the parallel lines have the same slope

to find it make the equation similar to y = mx + c where m is the slope

at this situation m = -1/2

7 0

3 years ago

Read 2 more answers

A circular plate has a crack along the line AB, as shown below: A circular plate is shown. The center of the plate is labeled as

makkiz [27]

Well, since point A represents the center, and B represents a point on the outer line of the circle, segment AB would represent the radius, since the radius represents the length from the center to the outside of a circle

Hope this helps

8 0

4 years ago

Read 2 more answers

Write the equation of a line that includes the point (-4,0) and has a slope of -3/5 in slope intercept form

dolphi86 [110]

In "slope-intercept form"
y = mx +b
the value "m" is called the slope, and the value "b" is called the intercept.

There is another form for the equation of a line, called "point-slope form".
y = m(x -h) +k
where m is still the slope and (h, k) correspond to the (x, y) of the point.

If you write the equation of your line in this "point-slope form", it is easily manipulated to be in the "slope-intercept form".
Fill in
m = (-3/5)
h = -4
k = 0
y = (-3/5)(x -(-4)) +0

Now, you simplify this by using the distributive property.
y = (-3/5)x -(3/5)*4
y = (-3/5)x -12/5 . . . . . . . . . the desired equation

_____
Your understanding of math improves immensely when you become familiar with the terminology. A lot of the rest of it is pattern matching--identifying the parts of one expression that correspond to the parts of another one.

(You will see another version of the "point-slope form", but I find this one the easiest to use for manipulating the equation to other forms.)