2x + y = 9
*You need to put it into slope form and solve for x and y!PLz help!
y= -2x + 9
-2,intercept: -7
To put the equation 2x + y = 9 into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, follow these steps:
1. Start with the equation: 2x + y = 9.
2. Subtract 2x from both sides of the equation to isolate y: y = -2x + 9.
3. Now you have the equation in slope-intercept form: y = -2x + 9.
To solve for x and y, you can use the slope-intercept form. The slope-intercept form of a linear equation is y = mx + b, where m represents the slope and b represents the y-intercept.
For the equation y = -2x + 9:
- The slope (m) is -2.
- The y-intercept (b) is 9.
To find the x and y values, you can choose any value for x and plug it into the equation to solve for y, or vice versa.
For example, if you choose x = 0:
y = -2(0) + 9
y = 9
So, when x = 0, y = 9.
Similarly, if you choose y = 0:
0 = -2x + 9
2x = 9
x = 4.5
So, when y = 0, x = 4.5.
Therefore, the solutions for x and y are:
- When x = 0, y = 9.
- When y = 0, x = 4.5.
Lastly, the slope-intercept form of the equation 2x + y = 9 is y = -2x + 9, and the slope is -2, with a y-intercept of 9.