Question

For the line 4x-2y=6, what is the slope, y-intercept and x-intercept.

Please show step by step.

Answer 1

Simplifying
4x + -2y + -6

Reorder the terms:
-6 + 4x + -2y

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + 2x + -1y)

Final result:
2(-3 + 2x + -1y)

set equal to zero

Simplifying
-3 + 2x + -1y = 0

Solving
-3 + 2x + -1y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 2x + 3 + -1y = 0 + 3

Reorder the terms:
-3 + 3 + 2x + -1y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2x + -1y = 0 + 3
2x + -1y = 0 + 3

Combine like terms: 0 + 3 = 3
2x + -1y = 3

Add 'y' to each side of the equation.
2x + -1y + y = 3 + y

Combine like terms: -1y + y = 0
2x + 0 = 3 + y
2x = 3 + y

Divide each side by '2'.
x = 1.5 + 0.5y

Simplifying
x = 1.5 + 0.5y

Answer 2

but slope cannot be determined because i think it is a parabola

Answer 3

but you can try to plug in a random number and see what you get

Answer 4

random number for x...to find y

Answer 5

To find the y intercept,
4x-2y=6
4(0) -2y=6
-2y = 6
-2y/-2 = 6/-2
y = -3

to find the x intercept
4x-2y=6
4x-2(0)=6
4x = 6
4x/4 = 6/4
x = 6/4 or 1.5
Now use the two points to find the slope
x intercept = (1.5,0)
y intercept = (0,-3)
m(slope) = y2-y1/x2-x1
m(slope) = -3-0/0-1.5
m(slope) = -3/-1.5
m(slope) = 2

Also to find the slope we can turn the equation into slop intercept form.
y =mx+b

This will also find the y intercept
4x-2y=6
-2y = -4x+6
-2y/-2 = -4x/-2 + 6/-2
y = 2x-3
slope is 2 and y intercept is -3 as shown in the equation