Answer:
The slope of the line given by the linear equation is -2
The slope of the line shown in the graph is -1
Step-by-step explanation:
The line equation, y = -2x + 7 is written in the slope-intercept form, which is represented by the formula, y = mx + b.
m is the slope, while b is the y-intercept.
Therefore, the slope of the line of the linear equation, y = -2x + 7 is -2.
Find the slope of the line shown in the graph using the formula, [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex].
Use the coordinates of any two points on the line. Let's use (0, 5) and (5, 0)
Let,
[tex] (0, 5) = (x_1, y_1) [/tex]
[tex] (5, 0) = (x_2, y_2) [/tex]
[tex] m = \frac{0 - 5}{5 - 0} = \frac{-5}{5} = -1 [/tex]
Therefore:
The slope of the line given by the linear equation is -2
The slope of the line shown in the graph is -1
