Question

For the linear function (x)=7x-2, which of the following is true?

1)It has a slope of 7 and a y-intercept of -2.
2)It has a slope of -2 and a y-intercept of 7.
3)It has a slope of 7x and a y-intercept of -2.
4)It has a slope of -2 and a y-intercept of 7x.​

Answer 1

Correct option is : 1) It has a slope of 7 and a y-intercept of -2.

Explanation:

The given function is :

`f(x)=7x-2` .....1

The general form of equation of a linear function is given by :

`y=mx+c\\` .....2

where, y is the dependent variable, x is the independent variable, m is the slope of the function and c is the y-intercept.

On comparing equations 1 and 2, we get:

m = 7,c = -2

Thus, we can conclude that : Slope of equation is 7 and y-intercept is -2.

Thus, only option 1 satisfies the given solution.