What is the slope of this graph? −14 4 14 −4 Number graph ranging from negative 10 to 10 on both the x and y axis. A line passes through the point begin ordered pair 1 comma negative 2 end ordered pair and the point begin ordered pair 0 comma 2 end ordered pair

Accepted Solution

The slope of this graph is - 4Step-by-step explanation:The slope of a line is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] , where[tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] are two points on the lineThe slope of a horizontal line is zeroThe slope of a vertical line is undefined∵ The graph is a line∵ The line passes through points (1 , -2) and (0 , 2)∴ [tex]x_{1}[/tex] = 1 and [tex]x_{2}[/tex] = 0∴ [tex]y_{1}[/tex] = -2 and [tex]y_{2}[/tex] = 2- Substitute these values in the rule below∵ [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{2}}[/tex]∴ [tex]m=\frac{2--2}{0-1}=\frac{4}{-1}[/tex]∴ m = - 4The slope of this graph is - 4Learn more:You can learn more about the slope of a line in brainly.com/question/4152194#LearnwithBrainly