Answer

Verified

375.3k+ views

**Hint:**This type of problem is based on the concept of equation of line. First, we have to consider the given equation. Compare the given equation with slope-intercept form of an equation, that is y=mx+c, where m is the slope of the equation and c is the intercept of the equation. Here, the given equation is also in the slope-intercept form where the slope m of the given equation is equal to 3 and the intercept c of the given equation is equal -1.

**Complete step-by-step solution:**

According to the question, we are asked to find the slope and intercept of the equation \[y=3x-1\].

We have been given the equation is \[y=3x-1\]. -----(1)

Consider the given equation first.

We know that the slope intercept form of a line equation is y=mx+c.

Where m is the slope of the equation and c is the intercept of the equation.

Compare the given equation (1) with slope-intercept form.

We find that the considered equation (1) is also in the slope intercept form.

In equation (1), the coefficient of x is 3 and in the slope-intercept form, the coefficient of x is m.

Since equation (1) is of slope intercept form, we get

m=3

Therefore, the slope of the equation (1) is 3.

Now, we need to find the intercept.

In the standard slope-intercept form y=mx+c, c is the intercept.

In equation (1) we find that -1 is the constant.

Comparing with the slope-intercept form of a line equation, we get

c=-1.

Therefore, the intercept of the equation (1) is -1.

**Hence, the slope and intercept of the equation \[y=3x-1\] are 3 and -1 respectively.**

**Note:**We should not get confused with the slope-intercept form and point-intercept form. Also avoid calculation mistakes based on sign conventions. Here, we are asked to find the intercept of the equation which means ‘c’ in the slope-intercept. We should not find the x and y intercepts instead. Always convert the given equation in such a manner that the y coordinate is on the left-hand side and the x coordinate with the constant is on the right-hand side of the equation.

Recently Updated Pages

Cryolite and fluorspar are mixed with Al2O3 during class 11 chemistry CBSE

Select the smallest atom A F B Cl C Br D I class 11 chemistry CBSE

The best reagent to convert pent 3 en 2 ol and pent class 11 chemistry CBSE

Reverse process of sublimation is aFusion bCondensation class 11 chemistry CBSE

The best and latest technique for isolation purification class 11 chemistry CBSE

Hydrochloric acid is a Strong acid b Weak acid c Strong class 11 chemistry CBSE

Trending doubts

Give 10 examples for herbs , shrubs , climbers , creepers

Difference Between Plant Cell and Animal Cell

Write a letter to the principal requesting him to grant class 10 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Name 10 Living and Non living things class 9 biology CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

List some examples of Rabi and Kharif crops class 8 biology CBSE

Write the 6 fundamental rights of India and explain in detail