Respuesta :

Answer:

y-7=4x(x+3)

Step-by-step explanation:

(The 4x is 4 times ...)

Answer:

[tex]y -7 = 4(x+3)[/tex]

Step-by-step explanation:

Point-slope form is in the format of [tex]y-y_1 = m (x-x_1)[/tex]. When knowing a line's slope and a point it passes through, you can write an equation in that format. The [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] must be substituted for with real values.

The [tex]m[/tex] represents the slope, thus substitute 4 for [tex]m[/tex]. [tex]x_1[/tex] represents the x-value of one point the line passes through, while [tex]y_1[/tex] represents that same point's y-value. The line passes through (-3, 7), so substitute -3 for [tex]x_1[/tex] and 7 for [tex]y_1[/tex]. This gives the following answer and equation:

[tex]y-(7) = 4(x-(-3))\\y -7 = 4(x+3)[/tex]