Write the slope-intercept (y = mx + b) form of the equation y=x/2-3
Write the slope-intercept (y = mx + b) form of the equation y=2x+5
Write the slope-intercept (y = mx + b) form of the equation y=-5/7x-54/7
Write the slope-intercept (y = mx + b) form of the equation y=1/3x+4/3
I need to show my work, but I am having a bit of trouble trying to plug things in. Help would really be appreciated. Thank you.
(y = mx + b) form of the equation y=x/2-3
mx+b=½x-3
Compare
Slope m=1/2 y intercept b=-3
Do the rest
Y = mx+b
Y = (1/2)x-3.
Y = 2x+5.
Y = (-5/7)x-54/7.
The number in front of the X is the slope.
You do the last one.
the
To write an equation in slope-intercept form (y = mx + b), you need to determine the values of the slope (m) and the y-intercept (b). Here's how you can find them:
1. Start with the equation: y = x/2 - 3
- The coefficient of x is the slope, so m = 1/2.
- To find the y-intercept, remember that when x = 0, y corresponds to the y-intercept. So, substitute x = 0 into the equation:
y = 0/2 - 3
y = -3
- Therefore, the equation in slope-intercept form is y = (1/2)x - 3.
2. For the equation: y = 2x + 5
- The coefficient of x is the slope, so m = 2.
- The constant term is the y-intercept, so b = 5.
- Therefore, the equation in slope-intercept form is y = 2x + 5.
3. For the equation: y = -5/7x - 54/7
- The coefficient of x is the slope, so m = -5/7.
- The constant term is the y-intercept, so b = -54/7.
- Therefore, the equation in slope-intercept form is y = (-5/7)x - 54/7.
4. For the equation: y = 1/3x + 4/3
- The coefficient of x is the slope, so m = 1/3.
- The constant term is the y-intercept, so b = 4/3.
- Therefore, the equation in slope-intercept form is y = (1/3)x + 4/3.
Remember that the slope-intercept form allows you to easily identify the slope and y-intercept of the equation.