Reduce the given equation into the intercept form and find the in… - Vidyadip

Question

Reduce the given equation into the intercept form and find the intercept on the axis. 4x - 3y = 6

✓

Answer

Here 4x - 3y = 6
$\Rightarrow \frac{{4x}}{6} - \frac{{3y}}{6} = 1 \Rightarrow \frac{{2x}}{3} - \frac{y}{2} = 1]$$\Rightarrow \frac{x}{{\frac{3}{2}}} + \frac{y}{{ - 2}} = 1$
which is required intercept form,
Comparing it with $\frac{x}{a} + \frac{y}{b} = 1$, we have
$a = \frac{3}{2}$ and b = -2

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "(Each question 2 marks)" from STRAIGHT LINES→STRAIGHT LINES — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Find the slope of the line, which makes an angle of 30° with the positive direction of y-axis measured anticlockwise.

For each of the following compound statements first identify the connecting words and then break it into component statements. x = 2 and x = 3 are the roots of the equation $3x^2 – x – 10 = 0$.

Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers): $4\sqrt{\text{x}}-2$

Find the equations of the straight lines which pass through (4, 3) and are respectively parallel and perpendicular to the x-axis.

If the nth term of the A.P. 9, 7, 5, ... is same as the $n^{th}$ term of the A.P. 15, 12, 9, ... find n.

There are 6 multiple choice questions in an examination. How many sequences of answers are possible, if the first three questions have 4 choices each and the next three have 2 each?

Using section formula, prove that the three points (– 4, 6, 10), (2, 4, 6) and (14, 0, –2) are collinear.

Write the equation of the lines for which tan $\theta=\frac{1}{2}$, where θ is the inclination of the line and y-intercept is $-\frac{3}{2}$

For the relation $R_1$ defined on R by the rule $(\text{a, b})\in\text{R}_1\Leftrightarrow1+\text{ab}>0$ Prove that, $(\text{a, b})\in\text{R}_1$ and $(\text{a},\text{b})\in\text{R}_1$ and $(\text{b},\text{c})\in\text{R}_1\Rightarrow(\text{a, c})\in\text{R}_1$ is not true for all $\text{a, b, c}\in\text{R}$

Find the principal solution of the equation: sin x = $\frac { \sqrt { 3 } } { 2 }$