Questions: A line passes through the point (-4,8) and has a slope of -3/2. Write an equation in slope-intercept form for this line.

A line passes through the point (-4,8) and has a slope of -3/2. Write an equation in slope-intercept form for this line.
Transcript text: A line passes through the point $(-4,8)$ and has a slope of $-\frac{3}{2}$. Write an equation in slope-intercept form for this line.
failed

Solution

failed
failed

Solution Steps

Step 1: Start with the point-slope form of the equation

The point-slope form is $y - y_1 = m(x - x_1)$, where $(x_1, y_1) = (-4, 8)$ and $m = -1.5$.

Step 2: Rearrange the equation to slope-intercept form

Rearranging the equation to solve for $y$, we get $y = mx + b$. To find $b$, we substitute the given values into the equation.

Step 3: Calculate the y-intercept ($b$)

Substituting $x_1 = -4$, $y_1 = 8$, and $m = -1.5$ into the equation, we get $b = y_1 - m \cdot x_1 = 8 + 1.5 \cdot -4 = 2$.

Final Answer:

The equation of the line in slope-intercept form is $y = -1.5x + 2$.

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Inoculated plates are incubated upside down (lid down, agar up) to prevent the dripping of condensate onto the surface of the agar, therefore preventing the dispersal of inoculated organisms. True or False True False
failedAnswered
Simplify. 9(6x) Simplify. -2(9a)
failedAnswered
Use the compound interest formulas A=P(1+r/n)^(nt) and A=Pe^(tt) to solve the problem given. Round answers to the nearest cent. Find the accumulated value of an investment of 20,000 for 4 years at an interest rate of 6.5% if the money is a. compounded semiannually; b. compounded quarterly, c. compounded monthly, d. compounded continuously. a. What is the accumulated value if the money is compounded semiannually? 25831.55 (Round your answer to the nearest cent. Do not include the symbol in your answer.) b. What is the accumulated value if the money is compounded quarterly? 25884.45 (Round your answer to the nearest cent. Do not include the symbol in your answer.) c. What is the accumulated value if the money is compounded monthly? (Round your answer to the nearest cent. Do not include the symbol in your answer.)
failedAnswered
A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers the color red. If 12 buyers are randomly selected, what is the probability that exactly a half of the buyers would prefer red? Round your answer to four decimal places.
failedAnswered
This system provides the force to move bones about their joints. nervous muscular skeletal endocrine