a. Write an equation in the “y = mx + b” format for the canal that runs through the Toaster Company property. Solve for “m” and “b” in the “y = mx + b” formula. The canal crosses the x-axis at -16 and crosses the y-axis at 3. See the chart for a visual. (
b. Write an equation in the “y = mx + b” format for the Power Lines that runs through the Toaster Company property. Solve for “m” and “b” in the “y = mx + b” formula. The power lines cross the y-axis at 1 and cross the x-axis at 4. See the chart for a visual.
c. What is the slope of the equation for the power lines?
d. What is the slope of the equation for the canal?
wouldn't you need the answer to c) and d) before you can do a) and b)
I will do a)
x-intercept is -16, so you have the point (-16,0)
y-intercept is 3, that is the b of our equation and the point (0,3)
slope = (3-0)/(0-(-16)) = 3/16
so equation is y = (3/16)x + 3
now do b) the same way.
a. To write an equation in the "y = mx + b" format for the canal that runs through the Toaster Company property, we need to determine the values of "m" and "b".
Given that the canal crosses the x-axis at -16 and the y-axis at 3, we can obtain two points on the line: (-16, 0) and (0, 3).
To find the slope, "m", we can use the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.
Substituting the values, we have m = (3 - 0) / (0 - (-16)) = 3 / 16.
To find the y-intercept, "b", we can substitute the coordinates of one point into the equation and solve for "b". Let's use the point (0,3):
3 = (3/16) * 0 + b
3 = b
Therefore, the equation for the canal is y = (3/16)x + 3.
b. To write an equation in the "y = mx + b" format for the Power Lines that run through the Toaster Company property, we need to determine the values of "m" and "b".
Given that the power lines cross the y-axis at 1 and the x-axis at 4, we can obtain two points on the line: (0, 1) and (4, 0).
To find the slope, "m", we can use the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.
Substituting the values, we have m = (0 - 1) / (4 - 0) = -1 / 4.
To find the y-intercept, "b", we can substitute the coordinates of one point into the equation and solve for "b". Let's use the point (0,1):
1 = (-1/4) * 0 + b
1 = b
Therefore, the equation for the Power Lines is y = (-1/4)x + 1.
c. The slope of the equation for the power lines is represented by "m" in the equation y = mx + b. In the given equation, y = (-1/4)x + 1, the coefficient of "x" is -1/4. Therefore, the slope of the equation for the power lines is -1/4.
d. The slope of the equation for the canal is represented by "m" in the equation y = mx + b. In the given equation, y = (3/16)x + 3, the coefficient of "x" is 3/16. Therefore, the slope of the equation for the canal is 3/16.