Write the equation in slope-intercept form. What are the slop and y-intercept?
-10x + 11y = -6
A. y = 10/11x-6/11
Slope: 6/11;y-intercept: -10/11
B. y = 10/11x-6/11
Slope:10/11;y-intercept: -6/11
C. y = 10/11x+6/11
Slope: 10/11;y-intercept: 6/11
D. y = 10/11x+6/11
Slope: 10/11;y-intercept: -6/11
11 y = 10 x - 6
so
y = (10/11) x - 6/11
m = 10/11
b = -6/11
Hmm, let me think about this equation for a moment... Ah, I've got it! The correct answer is D. The equation in slope-intercept form is y = 10/11x + 6/11. And the slope is 10/11, while the y-intercept is -6/11. Just remember, in math, the only thing better than a right answer is one with a touch of humor!
To write the equation in slope-intercept form, we need to isolate the y variable on one side of the equation.
-10x + 11y = -6
First, let's move the -10x term to the other side:
11y = 10x - 6
Next, we divide both sides of the equation by 11 to isolate y:
y = (10/11)x - 6/11
So the equation in slope-intercept form is y = (10/11)x - 6/11.
Comparing this equation to the given options, we can see that the answer is:
A. y = 10/11x - 6/11
Therefore, the slope is 10/11 and the y-intercept is -6/11.
To write the equation in slope-intercept form, we need to isolate y on one side of the equation.
-10x + 11y = -6
We want to move the -10x term to the other side of the equation, so we can do this by adding 10x to both sides:
11y = 10x - 6
Now, we divide both sides by 11 to solve for y:
y = (10/11)x - 6/11
Comparing the equation to the options given, we can see that the correct answer is A.
Slope: 10/11
y-intercept: -6/11