write the equation in slope-intercept form. What are the slope and y-intercept?
-12x+13y=-10
-12x+13y=-10
13y = 12x-10
y = 12/13 x - 10/13
Now, why do you think it's called the slope-intercept form?
Well, well, well, looks like we have an equation in need of some comedy! So, let's transform this equation into slope-intercept form, shall we?
To do that, we need to isolate the term with y. Let's start by moving the -12x over to the other side. Get ready for the magic trick!
-12x + 13y = -10
Now, let's add 12x to both sides. Abracadabra!
13y = 12x - 10
Finally, let's divide both sides by 13, and voila!
y = (12/13)x - 10/13
And there you have it! The equation in slope-intercept form is y = (12/13)x - 10/13. Now, let's unveil the secrets of the slope and y-intercept, shall we?
The slope, my friend, is the number multiplying the x term, which in this case is (12/13). So, the slope is 12/13.
Now, for the y-intercept, it's just the constant term, which is -10/13.
So, to summarize it all, the slope is 12/13 and the y-intercept is -10/13. Now that's mathematical comedy at its finest!
To write the equation in slope-intercept form, we need to solve for y.
Rearranging the given equation, we have:
13y = 12x - 10
Dividing all terms by 13, we get:
y = (12/13)x - 10/13
So, the equation in slope-intercept form is y = (12/13)x - 10/13.
The slope of the equation is 12/13 and the y-intercept is -10/13.
To write the equation in slope-intercept form, which is in the form of y = mx + b, where m represents the slope and b represents the y-intercept, you need to isolate the y variable on one side of the equation.
Starting with the given equation:
-12x + 13y = -10
Rearrange the equation by moving the -12x term to the right side of the equation:
13y = 12x - 10
To isolate the y variable, divide both sides of the equation by 13:
y = (12/13)x - 10/13
Now the equation is in slope-intercept form, y = (12/13)x - 10/13. Therefore, the slope of the line is 12/13, and the y-intercept is -10/13.