Respuesta :

Stephen46

Answer:

The answer is

[tex]y - 1 = 3(x + 7)[/tex]

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is (-7,1)

and slope/m=3

The equation of the line is

[tex]y - 1 = 3(x + 7)[/tex]

Hope this helps you
The set up for point slope form is:
y-y1=m(x-x1)

m is the slope(3)
Y1 (1) and x1 (-7) are any known points on the graph

So, subbing in this information we get

y-1=3(x+7)

The sign for x1 switch because the equation says it’s the opposite(-) of whatever the point was. Because the point is negative , we use addition in the ()