PART A:
Solve for the slope by solving change in y over change in x. We have (3-(-5)/(-2-2) = 8/-4=-2
PART B:
Change in to y=mx+b: -5y = -2x-10. Divide all terms by -5: y = 2/5x + 2. The slope is 2/5 and the y-intercept is 2.
PART C:
Remembering from part a that m=change in y/change in x, we have the equation: -4=1-(-9)/0-x. If we simplify, we have -4=10/0-x. If we multiply both sides from 1/10 we have: -2/5 = -x. So, x = 2/5.
PART D:
We can use point-slope form first:
y-5=-7(x+1). Then we solve the equation! y-5 = -7x-7. After adding 5 to both sides, we have the equation: y=-7x-2.
Answer:C. 2x2 + 3x − 1 is quadratic
Step-by-step explanation:
Quadratic expressions are polynomial expressions in which the highest power of the variable is 2.
Looking at option A, the highest power of the variable in the polynomial is 4. Therefore, it is not a quadratic expression.
Looking at option B, the highest power of the variable in the polynomial is 3. Therefore, it is not a quadratic expression.
Looking at option C, the highest power of the variable in the polynomial is 2. Therefore, it is a quadratic expression.
Looking at option D, the highest power of the variable in the polynomial is 1. Therefore, it is not a quadratic expression.
