The slope- intercept equation is: Y= -3x + 4
The correct option is (B)
What is Slope?
The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx.
m = Δy/Δx
where, m is the slope
Note that tan θ = Δy/Δx
We also refer this tan θ to be the slope of the line.
The slope of a line can be calculated using two points lying on the straight line. Given the coordinates of the two points, we can apply the slope of line formula. Let coordinates of those two points be,
P1 = (x1, y1)
P2 = (x2, y2)
As we discussed in the previous sections, the slope is the "change in y coordinate with respect to the change in x coordinate of that line". So, putting the values of Δy and Δx in the equation of slope, we know that:
Δy = y2 - y1
Δx = x2 - x1
Hence, using these values in a ratio, we get :
Slope = m = tan θ = (y2 - y1)/(x2 - x1)
As, from the graph we can see the y intercept = 4
Now, taking two coordinates (2, -2) and (0, 4)
So, slope=4+2/0-2= -3
Now, slope- intercept equation is
y= mx+c
y= -3x+ 4
Learn more about slope here:
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