To determine the equation of a line parallel to the given line, we know that the slope should be the same. The slope of the given line is 3.
Using the point-slope form of a linear equation, we can substitute the slope and the given point (2, 10) into the equation:
y - y1 = m(x - x1)
where m represents the slope and (x1, y1) represents the coordinates of the given point.
y - 10 = 3(x - 2)
Expanding the equation:
y - 10 = 3x - 6
Bringing the -10 to the right side of the equation:
y = 3x - 6 + 10
Simplifying the equation:
y = 3x + 4
Therefore, the equation for the line that is parallel to y = 3x + 7 and passes through the point (2, 10) is y = 3x + 4. So, the correct answer is:
y = 3x + 4.
Write an equation for the line that is parallel to the given line and passes through the given point. y = 3x + 7; (2, 10) (1 point)
y = 3x + 11
y = 3x + 4
y = –3x + 4
y = (-1/3)x + 4
1 answer