If (-3, -4) is a point on the line y = mx + 2 find the value of m.
Answer Details
The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope of the line and b is the y-intercept.
In this question, we are given that the point (-3, -4) lies on the line y = mx + 2. This means that when x = -3, y = -4. We can substitute these values into the equation to get:
-4 = m(-3) + 2
Simplifying this expression, we get:
-4 = -3m + 2
Subtracting 2 from both sides, we get:
-6 = -3m
Dividing both sides by -3, we get:
m = 2
Therefore, the value of m is 2.