Put the equation x a + y b =1 to the slope intercept form and fin… - Vidyadip

Question

Put the equation $\frac{\text{x}}{\text{a}}+\frac{\text{y}}{\text{b}}=1$ to the slope intercept form and find its slope and y-intercept.

✓

Answer

$\frac{\text{x}}{\text{a}}+\frac{\text{y}}{\text{b}}=1$The slope intercept form is
$\text{y}=\text{mx}+\text{c}$ $\frac{\text{x}}{\text{a}}+\frac{\text{y}}{\text{b}}=1$ $\text{bx}+\text{ay}=\text{ab}$ $\text{ay}=-\text{bx}+\text{ab}$ $\text{y}=\frac{-\text{bx}}{\text{a}}+\text{b}$ Thus y-intercept is b. Slope $=\frac{\text{-b}}{\text{a}}$

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 "3 Marks Question" from The Straight Lines→The Straight Lines — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

Find the coordinates of the foci and the vertices, the eccentricity, the length of the latus rectum of the hyperbolas: $\frac{x^{2}}{9}-\frac{y^{2}}{16}=1$

If $f(x) = x^2,$ find $\frac{\text{f}(1.1)-\text{f}(1)}{(1.1)-1}$

Three numbers are in A.P. If the sum of these numbers be 27 and the product 648, find the numbers.

Find the $r^{th}$ term of an $A.P.$ sum of whose first n terms is $2n + 3n^2 $.
$[$Hint: $an = S_n– S_n– 1]$

One angle of a triangle $\frac{2}{3}\text{x}$ grades and another is $\frac{3}{2}\text{x}$ degrees while the third is $\frac{\pi\text{x}}{75}$ radians. Express all the angles in degrees.

The vertices of $\Delta PQR$, are P(2, 1), Q(-2, 3) and R (4, 5). Find equation of the median through the vertex R.

In a single throw of two dice, find the probability that neither a doublet nor a total of 9 will appear.

If $(1+\text{i})\text{z}=(1-\text{i})\bar{\text{z}},$ then show that $\text{z}=-\text{i}\bar{\text{z}}.$

Evaluate the following limit:
$\lim\limits_{\text{x}\rightarrow{\text{a}}}\frac{\cos\text{x}-\cos\text{a}}{\sqrt{\text{x}}-\sqrt{\text{a}}}$

Differentiate the following functions with respect to x:$\frac{\text{a}+\text{b}\sin\text{x}}{\text{c}+\text{d}\cos\text{x}}$