Option D
The slope of line described by equation y - 7 = 8(x - 14) is 8
Solution:
Given equation is y - 7 = 8(x - 14)
We have to find the slope of line
The slope intercept form is given as:
y = mx + c
Where "m" is the slope of line or we can say "coefficient of x is slope"
Rearranging the given equation to slope intercept form,
y - 7 = 8(x - 14)
y - 7 = 8x - 112
y = 8x - 112 + 7
y = 8x - 105
On comparing the above equation y = 8x - 105 with slope intercept form y = mx + c,
slope = 8(coefficient of "x")
Thus the slope of line is 8
Method 2:
Given equation is y - 7 = 8(x - 14)
The point slope form of equation is:
[tex]y - y_1 = m(x - x_1)[/tex]
On comparing given equation y - 7 = 8(x - 14) with point slope form [tex]y - y_1 = m(x - x_1)[/tex] we get,
m = 8
Thus the slope of line is 8
