Find the slope of the line y+mx+6 that passes through the point (-1,3).
To find the slope of a line, we need to know the equation of the line, which is in the form y = mx + b, where m is the slope. In the given question, the equation of the line is y + mx + 6. However, the equation is incomplete as it does not include an equals sign or a y-intercept (b) value.
To find the slope of the line passing through the point (-1,3), we need a complete equation. The complete equation of a line passing through a given point can be obtained by substituting the coordinates of the point into the equation, and then solving for the missing variable(s).
Let's substitute the coordinates (-1,3) into the equation y + mx + 6:
3 = m(-1) + 6
Simplifying the equation, we get:
3 = -m + 6
Rearranging the equation:
-m = 3 - 6
-m = -3
To make the equation easier to work with, let's multiply both sides by -1:
m = 3
Therefore, the slope of the line passing through the point (-1,3) is 3.