Respuesta :
The slope-intercept foem: y = mx + b
m - the slope
y = 5x - 4 therefore the slope m = 5
m - the slope
y = 5x - 4 therefore the slope m = 5
Answer:
Option (d) is correct.
Slope of given line y = 5x -4 is 5
Step-by-step explanation:
Given equation of line as y = 5x - 4
We have to find the slope of given line.
For the general equation of line y = mx + c , where m is the slope of line and c is the y- intercept.
Slope of line is given by derivative the equation of line with respect to x, that is [tex]m=\frac{dy}{dx}[/tex]
Consider the given equation y = 5x - 4
then slope is [tex]m=\frac{dy}{dx}[/tex]
[tex]\frac{dy}{dx}=\frac{d}{dx}(5x-4) \\\\\frac{dy}{dx}=5[/tex]
Thus, slope of liven line is 5 .
Also, by comparing the given equation with general equation the slope of line is 5 .
Thus, option (d) is correct.