What is the point slope form of the line with slope 25 that passes through the point (−4, −7)?

Mathematics

1 answer:

Arisa [49]3 years ago

6 0

Answer:

Option A: $y+7 = 25(x+4)$ is the correct answer.

Step-by-step explanation:

The point-slope form of an equation of a line is given by:

$y-y_1 = m(x-x_1)$

Here:

m is the slope of the line

$(x_1,y_1)$ are the coordinates of the point from which the line passes.

Now looking at the given question:

$m = 25\\(x_1,y_1) = (-4,-7)$

Putting the values in the general form of point-slope form of equation of line

$y-(-7) = 25\{x-(-4)\}\\y+7 = 25(x+4)$

Hence, the point-slope form of given line is:

$y+7 = 25(x+4)$

Observing the option given, it can be concluded that Option A: $y+7 = 25(x+4)$ is the correct answer.

You might be interested in

Pls do as much as u can<br> thx

Stella [2.4K]

If you can label your graph then I could a lot more, but
f(x) = 5x
Ordered pairs : (1,5) (0,0) (2,10)
Domain [0,infinity)
Range [0, infinity)
Mapping
0 0
1. 5
2. 10
3. 15
4. 20
5. 25

4 0

3 years ago

Line m and point P are shown below. Part A: Using a compass and straightedge, construct line n parallel to line m and passing th

Arturiano [62]

Answer:

see the attached

Step-by-step explanation:

In the attachment, we will refer to the circles, bottom-to-top, as circles 1, 2 and 3. The black points of intersection, bottom-to-top, will be referred to by the letters A, B, C, D. The transversal line through the white point (W) and pink point (P) will be line q.

Step 1. Draw line q through point P so it intersects line m at some convenient point. Label that point W.

Step 2. Choose an arbitrary radius for your compass. Here, we have chosen it to be the length WB. It happens to be less than half the length of WP, but that is not a requirement.

Step 3. Draw an arc of the chosen radius centered at W and intersecting line q and line m. Label the intersection points A (on line m) and B (on line q). These intersection points are on circle 1.

Step 4. Draw an arc of the same radius centered at P. It should be a long enough arc that it would intersect the proposed line parallel to m. Label the intersection point on line q with label C. This intersection point is on circle 3.

Step 5. Adjust the compass width (radius) to the distance from A to B. This is the radius of circle 2.

Step 6. Draw an arc centered at C so that it intersects the arc of Step 4. This is circle 2, and you want it to intersect circle 3. Label that point of intersection D.

Step 7. Draw line PD parallel to m.

_____

The point of the construction is to create congruent alternate interior angles AWB and CPD, so that lines AW and PD are parallel.