Write this equation in slope intercept form. 6x-3y-2=0 and solve for Y.?
My answer: Slope-intercept form:
y = 2x-2/3
I don't know what is the value of y.
Can you help me? Would it also be y = 2x-2/3? Please explain it
sure looks like it to me.
They asked the same question twice.
I bet they meant to say:
Write the equation in standard form
6 x - 3 y = 2
then solve for y in slope intercept form
but who knows
To write the equation 6x - 3y - 2 = 0 in slope-intercept form and solve for y, you'll need to isolate y on one side of the equation. Here's how you can do it step by step:
Step 1: Start with the given equation: 6x - 3y - 2 = 0.
Step 2: Move the constant term (-2) to the right side of the equation by adding 2 to both sides, which gives:
6x - 3y = 2.
Step 3: To isolate y, we need to get rid of the coefficient -3 in front of y. Divide the entire equation by -3:
(6x - 3y) / -3 = 2 / -3.
Simplifying the equation, we have:
-2x + y = -2/3.
Step 4: Now, to rearrange the equation in slope-intercept form (y = mx + b), where m represents the slope, and b represents the y-intercept, we'll need to solve for y. Start by adding 2x to both sides of the equation:
-2x + 2x + y = -2/3 + 2x.
Simplifying, we get:
y = 2x - 2/3.
Therefore, the equation 6x - 3y - 2 = 0 in slope-intercept form is y = 2x - 2/3.