Given:
'a' and 'b' are the intercepts made by a straight-line with the co-
ordinate axes.
3a = b and the line pass through the point (1, 3).
To find:
The equation of the line.
Solution:
The intercept form of a line is
...(i)
where, a is x-intercept and b is y-intercept.
We have, 3a=b.
...(ii)
The line pass through the point (1, 3). So, putting x=1 and y=3, we get



Multiply both sides by a.

The value of a is 2. So, x-intercept is 2.
Putting a=2 in
, we get


The value of b is 6. So, y-intercept is 6.
Putting a=2 and b=6 in (i), we get

Therefore, the equation of the required line in intercept form is
.
The equation is only create a line on the coordinate itself . make a straight line on - 8 of y axis
so it is horizontal and there is no slope
the answer is a
Answer:
<u>6 : 1</u>
Step-by-step explanation:
The length is the longer side compared to the width.
Hence, the length is <u>42 inches</u> and width is <u>7 inches</u>.
<u>Taking the ratio</u> :
- Length : Width
- 42 : 7
- 7 x 6 : 7
- 6 : 1
The value of y in the given logarithmic equation is 3. The correct option is C. 3
<h3>Evaluating Logarithmic equation </h3>
From the question, we are to determine the value of y in the given logarithmic equation
The given equation is

By applying one of the laws of logarithm, we get

Now, express 64 in index form,

Since the bases are equal, we can equal the powers to get
3 = y
∴ y = 3
Hence, the value of y in the given logarithmic equation is 3. The correct option is C. 3
Learn more on Logarithmic equations here: brainly.com/question/237323
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