Can someone please help me with this math problem please fast
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
We need to find the equation of the line perpendicular to the line 3x+2y=8 and passes through (-5,2).
The given line can be expressed as:
We can see the slope of this line is m1=-3/2.
The slopes of two perpendicular lines, say m1 and m2, meet the condition:
Solving for m2:
Now we know the slope of the new line, we use the slope-point form of the line:
Where m is the slope and (h,k) is the point. Using the provided point (-5,2):
Answer:
The required expression is:
- y = 0.5x + 3
Please check the attached graph too.
Step-by-step explanation:
The slope-intercept form of the linear or line function
where
- m is the rate of change or slope
- b is the y-intercept
In our case,
The cost of hiring a taxi consists of a fixed cost of $3. It means the fixed cost of $3 is the initial condition.
Thus, the y-intercept b = 3
It is stated that the cost of per kilometer distance = $0.5
Thus, the rate of change or slope m = 0.5
As y represents the cost and x represents the number of kilometers.
so substituting m = 0.5 and b = 3 in the slope-intercept form of the linear or line function
y = mx+b
y = 0.5x + 3
Thus, the required expression is:
- y = 0.5x + 3
Please check the attached graph too.
