Respuesta :

points: (-2,0) and (5,4)

midpoint: (3/2, 2)

slope: 4/7

Slope intercept form: y = (4)/(7)x + 8/7

point slope form: y - 0 = 4/7 × (x + 2)

Answer:

[tex](\frac{3}{2}, 2)_[/tex]

Step-by-step explanation:

The midpoint can be calculated by a simple formula:

[tex]\frac{x1 + x2}{y2}, \frac{y1 + y2}{2}[/tex]

Where x1, y1 is the first set of coordinates (-2, 0) and x2, y2 is the second set (5, 4). Now just substitute:

[tex]\frac{-2 + 5}{2}, \frac{0 + 4}{2}[/tex]

[tex]\frac{3}{2}, \frac{4}{2}[/tex]

So the midpoint is:

[tex](\frac{3}{2}, 2)_[/tex]

or (1.5, 2)

Hope this helps!