Question

draw a graph on which the equation is given 4x-6=0

Answer 1

Answer:

First, re-arrange this question so it is in slope-intercept form. Subtract 6 and 4x from both sides:

3y = -4x-6

Divide both sides by 3:

y = (-4/3)x-2

Set x equal to zero to find the y-intercept:

x = 0

y = (-4/3)0–2

y = 0–2

y = -2

So the y-intercept is at (0, -2)

Now set y equal to zero to find the x-intercept.

y = 0

0 = (-4/3)x-2

Add 2 to both sides:

2 = (-4/3)x

Multiply both sides by -3/4:

-6/4 = x

-3/2 = x

So the x-intercept is at (-3/2, 0)

Then just plot the two points on a cartesian coordinate plane:

(0, -2)

(-3/2, 0)

That’s what the line would look like if you drew it as a line segment. Note that -3/2 is equal to -1.5.