Answer

Verified

414.9k+ views

**Hint:**Change of form of the given equation will give the slope, y intercept, and x-intercept of the line $y=1.4x-7$. We have it in the form of $y=mx+k$ to find the slope m. Then, we get into the form of $\dfrac{x}{p}+\dfrac{y}{q}=1$ to find the x intercept, and y intercept of the line as p and q respectively. Then we place the line on the graph based on that

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

We are taking the general equation of line to understand the slope and the intercept form of the line $y=1.4x-7$.

The given equation $y=1.4x-7$ is of the form $y=mx+k$. m is the slope of the line.

This gives that the slope of the line $y=1.4x-7$ is $1.4$.

Now we have to find the y intercept, and x-intercept of the same line $y=1.4x-7$.

For this we convert the given equation into the form of $\dfrac{x}{p}+\dfrac{y}{q}=1$. From the form we get that the x intercept, and y intercept of the line will be p and q respectively.

The converted equation is $y=1.4x-7\Rightarrow 7x-5y=35$.

Converting into the form of $\dfrac{x}{p}+\dfrac{y}{q}=1$, we get

$\begin{align}

& 7x-5y=35 \\

& \Rightarrow \dfrac{7x}{35}+\dfrac{-5y}{35}=1 \\

& \Rightarrow \dfrac{x}{5}+\dfrac{y}{-7}=1 \\

\end{align}$

Therefore, the x intercept, and y intercept of the line $y=1.4x-7$ is 5 and 7 respectively.

**The intersecting points for the line $y=1.4x-7$ with the axes will be $\left( 5,0 \right)$ and $\left( 0,-7 \right)$.**

**Note:**A line parallel to the X-axis does not intersect the X-axis at any finite distance and hence we cannot get any finite x-intercept of such a line. Same goes for lines parallel to the Y-axis. In case of slope of a line the range of the slope is 0 to $\infty $.

Recently Updated Pages

what is the correct chronological order of the following class 10 social science CBSE

Which of the following was not the actual cause for class 10 social science CBSE

Which of the following statements is not correct A class 10 social science CBSE

Which of the following leaders was not present in the class 10 social science CBSE

Garampani Sanctuary is located at A Diphu Assam B Gangtok class 10 social science CBSE

Which one of the following places is not covered by class 10 social science CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

How do you graph the function fx 4x class 9 maths CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

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

In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Why is there a time difference of about 5 hours between class 10 social science CBSE

Give 10 examples for herbs , shrubs , climbers , creepers