Question

Find the slope and the line through the points (13,4) and (-12,16)

Answer 1

m = -12/25

Explanation:

We are asked to find the slope of the line that passes through the following points:

• 
  `\sf{(13,4)\;and\;(-12,16)}`

Use this formula:

`\sf{m=\cfrac{y_2-y_1}{x_2-x_1}}`

Substitute the values:

`\sf{m=\cfrac{16-4}{-12-13}}`

`\sf{m=\cfrac{12}{-25}}`

`\sf{m=-\cfrac{12}{25}}`

Therefore, the slope of the line that passes through the points (13,4) and (-12,16) is -12/25.

-Best wishes!

Answer 2

The equation of the line passing through the points (13,4) and (-12,16) is 12x + 25y = 256 12x+25y=256, and the slope of the line is −12/25.

Explanation:

y2 - y1 16 - 4 -12

m = _______ ----> m = _________ -----> m = _________

x2 - x1 -12 - 13 -25

We have found a slope and now we will find the line through the points.

y - y1 = m(x - x1)

y - 4 = (-12/5)(x - 13)

y = (-12/5)x + 139/5

I don't know what slope form to put in so I put Standard form.

Ax + By = C

I hope this helps!