To find the slope of a line, we must find the change in y values divided by the change in x values, given by the formula y2-y1/x2-x1 and represented by the variable m. We use our values from the ordered pairs to compute the slope, as follows:
m = (5-1)/(4-2) = 4/2 = 2
Therefore, the slope is 2. Because the slope is positive, this means that the line is rising.
Hope this helps!
The line of the equation would be y = -1/4x + 11/16.
In order to find that, we'll put the ordered pair and the slope into slope intercept form. Then we can solve for the intercept.
y = mx + b
1 = -1/4(-5/4) + b
1 = 5/16 + b
11/16 = b
So then we put that in the equation with slope for the final equation.
Answer:
The slope is 
Step-by-step explanation:
Take the general equation of a straight line 
Here 
is the slope of the line.
So let's get the equation of the line in the question in the same form.
Add 
to both sides: 
Add 
to both sides: 
Divide by 
to get it into the general equation: 
Now compare it to the general equation to find the value of . The value of is the coefficient of 
which we can see is
