All categories

3 years ago

I need Answer Immediately!!!!!!!!!

Mathematics

2 answers:

ella [17]3 years ago

7 0

Answer:

the equation is x-6

pls mark me as brainliest

shtirl [24]3 years ago

6 0

Answer:

this might help you :

There are several forms that the equation of a line can take. They may look different, but they all describe the same line--a line can be described by many equations. All (linear) equations describing a particular line, however, are equivalent.

The first of the forms for a linear equation is slope-intercept form. Equations in slope-intercept form look like this:

y = mx + b

where m is the slope of the line and b is the y-intercept of the line, or the y-coordinate of the point at which the line crosses the y-axis.

To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope. This is the value of m in the equation. Next, find the coordinates of the y-intercept--this should be of the form (0, b). The y- coordinate is the value of b in the equation.

Finally, write the equation, substituting numerical values in for m and b. Check your equation by picking a point on the line (not the y-intercept) and plugging it in to see if it satisfies the equation.

Example 1: Write an equation of the following line in slope-intercept form:

Graph of a Line

First, pick two points on the line--for example, (2, 1) and (4, 0). Use these points to calculate the slope: m = = = - .

Next, find the y-intercept: (0, 2). Thus, b = 2.

Therefore, the equation for this line is y = - x + 2.

Check using the point (4, 0): 0 = - (4) + 2 ? Yes.

Example 2: Write an equation of the line with slope m = which crosses the y-axis at (0, - ).

y = x -

Example 3: Write an equation of the line with y-intercept 3 that is parallel to the line y = 7x - 9.

Since y = 7x - 9 is in slope-intercept form, its slope is 7.

Since parallel lines have the same slope, the slope of the new line will also be 7. m = 7. b = 3.

Thus, the equation of the line is y = 7x + 3.

Example 4: Write an equation of the line with y-intercept 4 that is perpendicular to the line 3y - x = 9.

The slope of 3y - x = 9 is .

Since the slopes of perpendicular lines are opposite reciprocals, m = - 3. b = 4.

Thus, the equation of the line is y = - 3x + 4.

You might be interested in

Show the tens fact you used. Write the difference.<br> 12-7=<br> 10- _=

Maksim231197 [3]

12-7=5

10-5=5

is that what you where looking for?

5 0

3 years ago

A deli made $320,000 in revenue last year. Due to increased popularity of the deli, the owner predicts that revenue will increas

DedPeter [7]

Answer: $736.000

Step-by-step explanation:

if u take out the 4 0s in 320.000 u will get 32 if u take out the percent of 23% u get 23 now mutiply 32 and 23 now u get 736 now add 3 0s then you have your answer

4 0

3 years ago

Describe a relationship in which one quantity increases as another quantity decreases

Morgarella [4.7K]

Inversely proportional

4 0

3 years ago

Using a directrix of y = −2 and a focus of (1, 6), what quadratic function is created? Question 3 options:

deff fn [24]

If your directrix is a "y=" line, that means that the parabola opens either upwards or downwards (as opposed to the left or the right). Because it is in the character of a parabola to "hug" the focus, our parabola opens upwards. The vertex of a parabola sits exactly halfway between the directrix and the focus. Since our directrix is at y = -2 and the focus is at (1, 6) AND the parabola opens upward, the vertex is going to sit on the main transversal, which is also the "line" the focus sits on. The focus is on the line x = 1, so the vertex will also have that x coordinate. Halfway between the y points of the directrix and the focus, -2 and 6, respectively, is the y value of 2. So the vertex sits at (1, 2). The formula for this type of parabola is $(x-h)^2=4p(y-k)$ where h and k are the coordinates of the vertex and p is the DISTANCE that the focus is from the vertex. Our focus is 4 units from the vertex, so p = 4. Filling in our h, k, and p: $(x-1)^2=4(4)(y-2)$ . Simplifying a bit gives us $(x-1)^2=16(y-2)$ . We can begin to isolate the y by dividing both sides by 16 to get $\frac{1}{16}(x-1)^2=y-2$ . Then we can add 2 to both sides to get the final equation $f(x)=\frac{1}{16}(x-1)^2+2$ , choice 4 from above.