What is an equation of the line that passes through the points left bracket, 4, comma, 7, right bracket(4,7) and left bracket, minus, 3, comma, 7, right bracket(−3,7)?
Answer
Attempt 1 out of 2
To find the equation of the line, we need to determine the slope of the line and the y-intercept.
The slope of a line passing through two points (x1, y1) and (x2, y2) can be found using the formula:
slope = (y2 - y1) / (x2 - x1)
For the given points (4,7) and (-3,7), the slope can be calculated as:
slope = (7 - 7) / (-3 - 4) = 0 / -7 = 0
Since the slope is 0, the line is a horizontal line.
We can use the point-slope form of a line to find the equation, which is:
y - y1 = m(x - x1)
Using the point (4,7) and slope 0, the equation becomes:
y - 7 = 0(x - 4)
Simplifying the equation, we get:
y - 7 = 0
So, the equation of the line passing through the points (4,7) and (-3,7) is y = 7.