Question

The formula y - y1=m(x - x,) is the point-slope form of the equation of a line where m is the slope of the line and (x,y) and (X1,Y,) are points of the line. Solve the equation for m. Find the slope of a line that includes the points (5,-2) and 6,0).

Answer 1

To find the slope of a line that includes the points (5,-2) and 6,0).​

Using the formula;

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

where m is the slope

x₁ = 5 y₁= -2 x₂ = 6 y₂=0

substituting the values into the formula;

$m\text{ = }\frac{0+2}{6-5}$

m = 2/1

m=2

Hence; the slope is 2