Question

Find out the value of slope and intercept of
straight line equation 3x – 4y = 1.​

Answer 1

Answer: The slope of the given equation is $\frac{3}{4}$ and the intercept of the equation is $-\frac{1}{4}$.

Given: The given straight-line equation is $3x-4y=1$.

To find: The objective is to find the slope and intercept of the given equation.

Step-by-step explanation:

Step1:

The given equation is $3x-4y=1$.

From this, we have to get the value of y. So by transposing the other terms to the other side of the equation, we can get the value of y.

$3x-4y=1\\4y=3x-1\\y=\frac{3x-1}{4} \\y=\frac{3x}{4} -\frac{1}{4}$

Step2:

The y-coordinate of the point where a line intersects the y-axis is called the intercept, and the x-coordinate is known as the slope. When the equation of a line is written in the form $y=mx+c$, m stands for slope, and c stands for intercept.

Here, $y=\frac{3x}{4} -\frac{1}{4}$

Hence, the value of the slope, $m=\frac{3}{4}$

The value of the intercept, $c=-\frac{1}{4}$

To learn more about this concept please go through the links given below.

https://brainly.in/question/28953734

https://brainly.in/question/29618837

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