What is 10x + 2y - 10 = 0 in slope intercept form ? and can you also explain how you got the answer cause I'm not really sure how to convert that into slope intercept (y = mx + b) m = slope and b = y intercept
leave the y term on the left
2y = -10x + 10
divide by 2
y = -5x + 5 , compare with y = mx + b
(most equation can be changed to the required form using those TWO steps )
Oh alright I got it thank you :)
To convert the equation 10x + 2y - 10 = 0 into slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept, follow these steps:
Step 1: Start with the given equation: 10x + 2y - 10 = 0.
Step 2: Isolate the term with the variable y by moving the other terms to the other side of the equation. Add 10 to both sides: 10x + 2y = 10.
Step 3: To isolate the y term, subtract 10x from both sides, which gives you 2y = -10x + 10.
Step 4: Divide the entire equation by 2 to isolate y. This yields: y = (-10/2)x + (10/2).
Simplifying further, we have: y = -5x + 5.
Thus, the equation 10x + 2y - 10 = 0 is equivalent to y = -5x + 5 in slope-intercept form.
In this equation, the slope (m) is -5, and the y-intercept (b) is 5.
To convert the equation 10x + 2y - 10 = 0 into slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept, you need to isolate y on one side of the equation.
Step 1: Start with the equation: 10x + 2y - 10 = 0
Step 2: Rearrange the equation by moving the terms that do not contain y to the other side. Start by adding 10 to both sides of the equation:
10x + 2y = 10
Step 3: Next, subtract 10x from both sides of the equation to isolate the y term:
2y = -10x + 10
Step 4: Divide both sides of the equation by 2 to solve for y:
y = (-10x + 10)/2
Step 5: Simplify the expression on the right side of the equation:
y = -5x + 5
Therefore, the equation 10x + 2y - 10 = 0, when converted to slope-intercept form, becomes y = -5x + 5. In this form, the slope is -5, and the y-intercept is 5.
Now you can understand how to convert equations into slope-intercept form by isolating the y term on one side of the equation, and then simplify the expression to have the form y = mx + b.