What is the slope 3x + 4y = 48 in standard form

Question

asked Feb 1, 2024 202k views

2 Answers

Gnavi · Answer 1 · 2024-02-03T18:30:55+0000

Answer:

x= 3 4(y+12)

Explanation:

Slope = 1.500/2.000 = 0.750

x-intercept = 48/3 = 16

y-intercept = 48/-4 = 12/-1 = -12.00000

Anthony Neace · Answer 2 · 2024-02-06T02:08:55+0000

Answer:

$\sf Slope(m)= -(3)/(4) \textsf{ or } 0.75$

Explanation:

In order to find the slope, we can rewrite the equation in slope-intercept form, which is:

$\sf y = mx + b$

where m is a slope.

In this case, we can rewrite the equation as follows:

$\sf 3x + 4y = 48$

Subtract both side by 3x.

$\sf 4y= 48 -3x$

$\sf 4y=-3x +48$

Divide both sides by 4.

$\sf (4y)/(y)=(-3x)/(4)+ (48)/(4)$

$\sf y = -(3)/(4) + 12$

While comparing:

The slope of the equation:

$\sf Slope(m)= -(3)/(4) \textsf{ or } 0.75$