Instructions: Label the slope and y𝑦-intercept of the given function.y−4=−4(x+2)𝑦−4=−4(𝑥+2)(x1,y1)=((𝑥1,𝑦1)=( Answer 1 Question 15 ,, Answer 2 Question 15 ))m=𝑚= Answer 3 Question 15CheckQuestion 15
Question
Instructions: Label the slope and y𝑦-intercept of the given function.y−4=−4(x+2)𝑦−4=−4(𝑥+2)(x1,y1)=((𝑥1,𝑦1)=( Answer 1 Question 15 ,, Answer 2 Question 15 ))m=𝑚= Answer 3 Question 15CheckQuestion 15
Solution
The given function is in the form of y - y1 = m(x - x1), which is the point-slope form of a linear equation.
Step 1: Identify the slope (m) In the equation y - 4 = -4(x + 2), the slope (m) is the coefficient of x, which is -4. So, Answer 3 Question 15 is -4.
Step 2: Identify the y-intercept (b) To find the y-intercept, we need to convert the equation to slope-intercept form (y = mx + b).
First, distribute -4 in -4(x + 2) to get -4x - 8. The equation becomes y - 4 = -4x - 8.
Then, add 4 to both sides to isolate y: y = -4x - 4.
The y-intercept (b) is the constant term, which is -4.
However, the point (x1, y1) given in the question seems to be incomplete. If it's supposed to be the y-intercept, then x1 should be 0. So, (x1, y1) should be (0, -4).
So, Answer 1 Question 15 is 0 and Answer 2 Question 15 is -4.
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