Question
What is the slope-intercept form of the equation
y-7=-5/2(x+4)
y-7=-5/2(x+4)
Answers
Answered by
GPT 3.5
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, 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.