Write an equation of the line passing through each of the following pairs of points.
(5, 0), (−3, 0)
the line is the x-axis ... y = 0
(5. 0), (-3, 0).
Y = mx + b.
m = (0-0)/(-3-5) = 0.
b = y - mx = 0 - 0 = 0.
Eq: Y = 0. for all values of X.
So the Eq is a hor. line on the x-axis.
To find the equation of a line passing through two given points, we can use the point-slope form of the equation:
y - y1 = m(x - x1)
where (x1, y1) is one point on the line, m is the slope of the line.
Let's find the slope (m) first, using the two given points: (5, 0) and (-3, 0).
The slope (m) is given by the formula:
m = (y2 - y1) / (x2 - x1)
Plugging in the values:
m = (0 - 0) / (-3 - 5) = 0 / -8 = 0
Since the y-coordinate of both points (0, 0) are the same, the slope (m) is 0.
Now we can choose one of the points, let's use (5, 0), and substitute it into the point-slope form:
y - 0 = 0*(x - 5)
y = 0
Thus, the equation of the line passing through the points (5, 0) and (-3, 0) is y = 0.