Respuesta :

leena

Hey there! :)

Answer:

y + 4 = 5/2(x - 2)

Step-by-step explanation:

The point-slope form of a line is:

[tex]y-y_{1} = m(x - x_{1})[/tex]

Where m = slope

[tex]y_{1}[/tex] = y-coordinate of a point

[tex]x_{1}[/tex] = x-coordinate of a point.

Therefore:

y - (-4) = 5/2(x - 2)

Simplify:

y + 4 = 5/2(x - 2)

Answer: y + 4 = 5/2(x - 2)

Step-by-step explanation:

So, to make an equation in point-slope form we need a point on the graph and a slope, so in other words we need (x1 , y1) and m.

So lets find these values.

With the point they gave us, we can get the x1 value and y1 value.

x1 = 2

y1  = -4

And with the slope we can find m

m = 5/2

With all this information all we have to do is plug the values into the point slope formula.

y - y1 = m(x - x1)

y + 4 = 5/2(x - 2)