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
In the figure, lines BD and QS are parallel. Complete the given statement. The measure of angle CRQ is , and the measure of angle CRS is
failedAnswered
Adding an Internet channel is attractive to retailers with strong brand names but limited locations and distribution. makes it difficult for retailers to develop extensive purchase histories of their customers. allows customers the opportunity to use all five senses when examining and evaluating products. reduces the number of product alternatives that can be offered to consumers.
failedAnswered
Leah, age 8, is teased at school for being overweight and she's self-conscious about her body image. How can Leah's parents best support her in losing weight? Packing her lunch, so she does not eat unhealthy school lunches. Joining her on a calorie-restrictive diet plan. Purchasing cute "goal" clothing she can fit into if she loses weight to incentivize weight loss. Encouraging physical play and joining her in increasing physical activity.
failedAnswered
Consider the table below. Car Rental Trip Time Distance Traveled Cost ------------------------------------------------ First Trip 2 days 275 miles 140.75 Second Trip 1 day 95 miles 59.75 A salesman rents a car for two trips from the same rental company. The rental company charges a daily fee plus a charge for each mile driven. According to this table, how much did the rental company charge per day and per mile? a. 17 per day and 0.45 per mile c. 8.45 per day and 0.54 per mile b. 36 per day and 0.25 per mile d. 70.38 per day and 0.63 per mile
failedAnswered
Find the equation of the circle with a center at (-3,5) and a radius of 6.7.