Which of the following points has a distance of 3 from the point (−7, 4) ?(1 point)
The points that have a distance of 3 from the point (-7, 4) can be determined by using the distance formula.
The distance formula is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
To find the points that are at a distance of 3 from (-7, 4), we can set up the following equation and solve for the points (x, y):
3 = √((x - (-7))^2 + (y - 4)^2)
Squaring both sides of the equation:
9 = (x + 7)^2 + (y - 4)^2
Expanding the equation:
9 = (x^2 + 14x + 49) + (y^2 - 8y + 16)
Rearranging the equation:
x^2 + 14x + y^2 - 8y + 49 + 16 - 9 = 0
Combining like terms:
x^2 + 14x + y^2 - 8y + 56 = 0
Now, we need to determine the points (x, y) that satisfy this equation.