The slope between the points (4,2) and (1. p) is 4. Find p and write the equation of the line that has these points in point slope form.
Hint
P-2
D-10
equation of the line: \y - y1) = m(- X1)
Y1
m-
X1

Hi there! The slope formula is:

We know that the slope is 4 but we are missing the value of p. (Define m = slope)

What we have now are:

We are going to substitute these values and solve the equation for p-term.

Hence, the value of p is -10.

Next, we have to write the equation of a line in point-slope form. The point-slope form is:

Define that (x1, y1) = ordered pairs

Since we have two given points, we can either use the first point or second point. Both work.

First Point

For our first ordered pairs (4,2), substitute x1 = 4 and y1 = 2 in the equation.

Hence, the equation of a line in point-slope form as in (4,2) is y-2=4(x-4)

Second Point

For our second ordered pairs (1,p), we know that p = -10 from the equation that we solved. Therefore (1,p) = (1,-10). Substitute x1 = 1 and y1 = -10 in the equation.

Hence, the equation of a line in point-slope form as in (1,-10) is y+10 = 4(x-1)

Answer

Both equations work for point-slope form.

Questions can be asked through comment.

Hope this helps, and Happy Learning! :)

each side has a different length.  

step-by-step explanation:

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