Question

Which line has a slope of 0.625, and which line has a slope of 1.6?

Answer 1

Answer:

The answer is below

Step-by-step explanation:

The equation of a straight line is given by:

y = mx + b; where y and x are variables, b is the y intercept (i.e. value of y when x is zero), m is the slope of the line.

The slope of a line passing through the points $(x_1,y_1)\ and\ (x_2,y_2)\ is:$

$m=\frac{y_2-y_1}{x_2-x_1}$

Let the point where the two lines intersect be the origin (0, 0).

Line 1 passes through (0, 0) and (8, 5). Hence:

slope of line 1 = $\frac{y_2-y_1}{x_2-x_1}=\frac{5-0}{8-0} =0.625$

Line 2 passes through (0, 0) and (5, 8). Hence:

slope of line 2 = $\frac{y_2-y_1}{x_2-x_1}=\frac{8-0}{5-0} =1.6$