To determine the value of x that will make lines m and k parallel, we need to set their slopes equal to each other.
The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.
For line m: y = 3x + 35
For line k: y = 5x + 13
To find the slope of each line, we look at the coefficients of x in the equations:
Slope of line m = 3
Slope of line k = 5
For two lines to be parallel, their slopes must be equal. Therefore, we set the slopes equal to each other and solve for x:
3x + 35 = 5x + 13
Rearranging the equation:
2x = 22
Dividing both sides by 2:
x = 11
So, the value of x that will make lines m and k parallel is x = 11.