Write the equation of the line that passes through the given points.
(2,0) and (0, - 1)
The equation of the line is
(Simplify your answer. Type your answer in slope-intercept form.)
To find the equation of the line that passes through the given points, we need to calculate the slope of the line and then use the point-slope formula or the slope-intercept form.
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula:
m = (y₂ - y₁) / (x₂ - x₁)
Using the given points (2, 0) and (0, -1), we can calculate the slope:
m = (-1 - 0) / (0 - 2) = -1 / (-2) = 1/2
Now, we can use the slope-intercept form: y = mx + b, where m represents the slope and b represents the y-intercept.
We already know the slope, which is 1/2.
To find b, we can substitute one of the given points into the equation and solve for b.
Using the point (2, 0):
0 = (1/2)(2) + b
0 = 1 + b
b = -1
So, the equation of the line is:
y = (1/2)x - 1