Question

The equation of line L is 3x − 4y = 24. The line intersects the X − axis at A and the

Y − axis at B. Given that M is the point (4, −3) and O is the origion. Find

. The gradient of line L.

Answer 1

Answer:

The slope of the line = m = 3/4

Step-by-step explanation:

We know that the slope-intercept of line equation is  

$y=mx+b$

Here:

• m is the slope

• b is the y-intercept

Given the equation of line L

$3x - 4y = 24$

Writing the equation in the slope-intercept form

$3x - 4y = 24$

Add -3x to both sides

$3x\:-\:4y+\left(-3x\right)=\:24+\left(-3x\right)$

$-4y=\:-3x+24$

Divide both sides by -4

$-\frac{4y}{4}=\:\frac{\left-3x+24\right}{-4}$

$y=\frac{3}{4}x-6$

Comparing the equation with $y=mx+b$

Therefore, the slope of the line = m = 3/4