How can I find the line passing through the points (7,16) and (2,-4)

We can solve for the line in point-slope form:

where is some point the line passes through and m is the slope.

First, to find the equation of any line, we need to find the slope. We can use the following formula to solve for the slope.

where and are two different points that the line passes through.

Let's use the points we are given, (7,16) and (2,-4)

The line has a slope of 4, m=4.

Now we can put the value of m=4 into the following equation:

However, we still need a value for and . To determine their values, you can choose any of the two points. I'll be using (7,16).

Thus, and . Inserting these values, along with the value for m, into the point-slope form equation gives us:

This should be the equation of the line passing through points (7,16) and (2,-4).

If you need the line in any of the other forms, such as

Slope intercept form: or Standard form: ,

just use the point-slope form equation I gave and change it so it resembles the form you need. If you need any help with that, I'd be happy to assist you.

Welcome to and happy studying!

~ Padoru

There are 15 rings on the laddey

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.