What is the equation of the line passing through #(34,5)# and #(4,-31)#?
2 Answers
Explanation:
We will set up the co-ordinates as:
Now we do subtraction of the
We now divide the difference in
So
Equation of a straight line:
Explanation:
Standard form equation is:
Where m is the slope (gradient) and c is the point where the plot crosses the y-axis in this context.
The gradient is the amount of up (or down) of y for the amount of along for the x-axis.
So
As
Substitute (2) into (1) giving:
Now all we need to do is substitute known values for x and y to obtain that for c
Let
Then
Subtract
Substitute (4) into (3) giving: