The equation of a line is y = mx - 1. Find the value of m if the line passes through the point (2, 3).
To find the value of "m", we can substitute the coordinates of the given point (2, 3) into the equation of the line.
Given: y = mx - 1
Substituting x = 2 and y = 3, we have:
3 = m(2) - 1
Rearranging the equation, we have:
3 + 1 = 2m
Simplifying, we get:
4 = 2m
To isolate "m", we divide both sides of the equation by 2:
4/2 = 2m/2
2 = m
Therefore, the value of "m" is 2.
To find the value of m, we can substitute the coordinates of the given point (2, 3) into the equation of the line y = mx - 1.
Let's substitute x = 2 and y = 3 into the equation y = mx - 1:
3 = m(2) - 1
Now, let's simplify the equation:
3 = 2m - 1
To isolate the m term, let's add 1 to both sides of the equation:
3 + 1 = 2m - 1 + 1
4 = 2m
Next, divide both sides of the equation by 2:
4/2 = 2m/2
2 = m
Therefore, the value of m is 2.