Answer:
y = -3x - 16
Step-by-step explanation:
Point-slope form: y - y1 = m(x - x1)
Given: y - 2 = -3(x + 6)
Slope-intercept form: y = mx + b
To write the equation in slope-intercept form, we need to know the slope(m) and the y-intercept(b). By looking at the given equation, we can see that the slope is -3. We are also given the value of one point: (-6, 2).
To find the y-intercept, input the given values of the slope and the point into the equation format and solve for b:
y = mx + b
2 = -3(-6) + b
2 = 18 + b
Subtract 18 from both sides of the equation to isolate b:
2 - 18 = 18 - 18 + b
-16 = b
The y-intercept is -16.
Now that we know the slope and the y-intercept, we can write the equation:
y = -3x - 16
Combine like terms
-2x-4=-2x-4
Since the equations are the same, the answer is infinitely many solutions.
Answer:
The percentage change is 140%
Step-by-step explanation:
Given
---- initial dimension
--- new width
--- new dimension
Required
The percentage increment
The length remains constant because only the width is extended.
The new area is:
Make L the subject
Substitute values for A and W
--- this is the length of the garden
Calculate the initial width:
Make W1 the subject
So, the initial area is:
The percentage change in area is:
Express as percentage
If the bench costs x dollars we have the equation
x + x - 62 = 688
2x = 750
x = $375
The bench cost $375
