What is the slope-intercept form of the equation
y-7=-5/2(x+4)
The slope-intercept form of an equation is given by y = mx + b, where m represents the slope and b represents the y-intercept.
To convert the given equation y - 7 = -5/2(x + 4) into slope-intercept form, we need to solve for y.
Starting with:
y - 7 = -5/2(x + 4)
Distribute -5/2 to both terms in the parentheses:
y - 7 = -5/2 * x - 5/2 * 4
Simplify:
y - 7 = -5/2x - 20/2
Combine the constants:
y - 7 = -5/2x - 10
Add 7 to both sides of the equation:
y = -5/2x - 10 + 7
Simplify:
y = -5/2x - 3
Therefore, the slope-intercept form of the equation y - 7 = -5/2(x + 4) is y = -5/2x - 3.
To convert the given equation, y-7=-(5/2)(x+4), into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, follow these steps:
Step 1: Distribute -5/2 to the terms inside the parentheses.
y - 7 = -5/2 * x - 5/2 * 4
Step 2: Simplify the equation further.
y - 7 = -5/2 * x - 20/2
y - 7 = -5/2 * x - 10
Step 3: Rearrange the equation to isolate y.
y = -5/2 * x - 10 + 7
y = -5/2 * x - 3
Therefore, the slope-intercept form of the equation y-7=-(5/2)(x+4) is y = -5/2 * x - 3.
The slope-intercept form of an equation of a line is given by the equation y = mx + b, where m is the slope of the line and b is the y-intercept.
To convert the given equation y - 7 = -5/2(x + 4) to slope-intercept form, we need to isolate the y variable on one side of the equation.
First, distribute the -5/2 to the terms in the parentheses:
y - 7 = (-5/2)(x) + (-5/2)(4)
y - 7 = -5/2x - 20/2
y - 7 = -5/2x - 10
Next, we can simplify the equation by adding 7 to both sides:
y - 7 + 7 = -5/2x - 10 + 7
y = -5/2x - 3
Now, we have successfully converted the equation into slope-intercept form. Therefore, the slope-intercept form of the equation y - 7 = -5/2(x + 4) is y = -5/2x - 3.