Question

what is the slope of a line of best fit if its equation is y = 5x − 4? −4 negative 1 over 4 1 over 5 5

Answer 1

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 $m=\frac{dy}{dx}$

Consider the given equation y = 5x - 4

then slope is $m=\frac{dy}{dx}$

$\frac{dy}{dx}=\frac{d}{dx}(5x-4) \\\\\frac{dy}{dx}=5$

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.

Answer 2

The slope-intercept foem: y = mx + b

m - the slope

y = 5x - 4 therefore the slope  m = 5