Question

What is the slope of the line? 3x-4y=73x−4y=7

Answer 1

to find the slope, we put this in y = mx + b form where m is ur slope.

3x - 4y = 7.....subtract 3x from both sides
-4y = -3x + 7 ...now we divide both sides by -4
(-4/-4)y = (-3/-4)x + (-7/4)...simplify
y = 3/4x - 7/4

y = mx + b
y = 3/4x - 7/4.....so the number in the m position is 3/4 <== ur slope

Answer 2

The slope of the line is  $\frac{3}{4}$

What is slope of line and its general form?

The slope of a line is the measure of the steepness and the direction of the line.

The slope of a line can be calculated from the equation of the line. The general slope of a line formula is given as,

y = mx + b

where,

m is the slope, such that m = tan θ = Δy/Δx

θ is the angle made by the line with the positive x-axis

Δy is the net change in y-axis

Δx is the net change in x-axis

According to the question

The line : 3x − 4y = 7  

Now,

The slope of the line will be  

As per general slope of a line formula

y = mx + b

by comparing the equation of line to general form

3x − 4y = 7

-4y = 7 - 3x  

4y = 3x - 7

y = $\frac{3}{4} x - \frac{7}{4}$

Therefore,

m = $\frac{3}{4}$  

Hence, the slope of the line is  $\frac{3}{4}$   .

To know more about slope of line and its general form here:

https://brainly.com/question/2420157

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