Questions: Determine the equation, in slope-intercept form, for the line shown in the graph below:

Determine the equation, in slope-intercept form, for the line shown in the graph below:
Transcript text: Determine the equation, in slope-intercept form, for the line shown in the graph below:
failed

Solution

failed
failed

Solution Steps

Step 1: Find two points on the line.

Two points that are clearly on the line are (16, 8) and (0, -8).

Step 2: Calculate the slope.

The slope is calculated as the change in y divided by the change in x. Using the points (16, 8) and (0, -8), the slope is (8 - (-8))/(16 - 0) = 16/16 = 1.

Step 3: Determine the y-intercept.

The y-intercept is the y-value where the line crosses the y-axis. From the graph, this is clearly at the point (0, -8). Therefore the y-intercept is -8.

Step 4: Write the equation in slope-intercept form.

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 1 and the y-intercept is -8, so the equation is y = 1x - 8, or simply y = x - 8.

Final Answer: The equation of the line is y = x - 8.

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Find the amplitude, period, and phase shift of the function. y=-4 sin(2 x + (π/2)) What is the amplitude? What is the period? What is the phase shift?
failedAnswered
The amplitude of the action potential of a given neuron is - dependent on the magnitude of the incoming stimulus. - always the same regardless of the magnitude of the incoming stimulus. - smaller if the resting potential of the neuron is lower. - larger in response to depolarizing currents of greater magnitude.
failedAnswered
The equilibrium price level and equilibrium output is determined by the intersection of the aggregate demand curve and the aggregate curve.
failedAnswered
Shown below is the output from a linear model predicting armspan (in cm) from height (in inches) and summary statistics. Assume that the association between armspan and height is linear. Use the output and summary statistics to complete parts a through d. LinReg y=a+bx a=27.336548588 b=2.085486727 Height, x: 63.59, 3.58 Armspan, y: 159.95, 7.70 a. Report the regression equation, using the words "Height" and "Armspan," not x and y. A. Predicted Armspan = 2.09 + 27.34 Height B. Predicted Height = 27.34 + 2.09 Armspan C. Predicted Armspan = 27.34 + 2.09 Height D. Predicted Height = 2.09 + 27.34 Armspan
failedAnswered
Question 12 The student photo club at the college is planning on selling prints that it makes to raise money. The profit P, in dollars, from selling x prints is given by the function: P(x) = 213x - 2x^2 a) Find the number of prints, to the nearest whole print, that need to be sold to maximize the profit. You must sell prints to maximize the profit. b) The maximum profit is - (No dollar signs or comma's.)