Question
Identify the slope and y intercept of the equation 4x-3y=12
Answers
GPT 3.5
To find the slope and y-intercept of the equation 4x - 3y = 12, we first need to put the equation into slope-intercept form, which is y = mx + b.
To do this, we will isolate y by subtracting 4x from both sides of the equation:
-3y = -4x + 12
Next, we divide both sides of the equation by -3 to solve for y:
y = (-4x + 12) / -3
Simplifying further:
y = -4/3 * x + 4
Comparing this with the slope-intercept form, we can see that the slope is -4/3 and the y-intercept is 4.
To do this, we will isolate y by subtracting 4x from both sides of the equation:
-3y = -4x + 12
Next, we divide both sides of the equation by -3 to solve for y:
y = (-4x + 12) / -3
Simplifying further:
y = -4/3 * x + 4
Comparing this with the slope-intercept form, we can see that the slope is -4/3 and the y-intercept is 4.