Which shows the equation 6x + 4y = 10 written in slope-intercept form?
A. y= -3/2x + 5/2
B. y= -4/6x + 5/3
C. y= -4x + 4
D. y= -6x + 10

I need it explained please so that I'm able to solve questions like this. [tex][/tex]

Respuesta :

Answer:

A) y=-3/2x+5/2

Step-by-step explanation:

y=mx+b

6x+4y=10

4y=10-6x

4y=-6x+10

y=-6/4x+10/4

simplify

y=-3/2x+5/2

The equation 6x + 4y = 10 written in slope-intercept form is y = -3/2x + 5/2.

How to solve the equation 6x + 4y = 10 by slope-intercept form?

The equation Y = mx + b exists in the slope-intercept form of the equation of a straight line. In the equation y = mx + b, m exists the slope of the line and b exists the intercept. X and y describe the distance of the line from the x-axis and y-axis, respectively. The value of b exists equivalent to y when x = 0, and m indicates how steep the line exists.

Let the equation be, 6x + 4y = 10

Simplifying the above equation we get

4y = 10 - 6x

4y = -6x + 10

y=-6/4x + 10/4

simplify

y = -3/2x + 5/2.

Therefore, the correct answer is option A. y= -3/2x + 5/2.

To learn more about slope-intercept form

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