What is the slope-intercept equation for the line below? (0, 4) (4, 1)

Answer:
The equation of the line would be y = 5/4x - 4
Step-by-step explanation:
To find the equation of any line, start by finding the slope using the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-4 - 1)/(0 - 4)
m = -5/-4
m = 5/4
Now that we have the slope, use that and either point to get the equation of the line
y - y1 = m(x - x1)
y + 4 = 5/4(x - 0)
y + 4 = 5/4x
y = 5/4x - 4
The equation of the line would be y = (5/4) x - 4. Hence, option B is correct.
An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
To find the equation of any line, start by finding the slope using the slope formula.
m(slope) = (y₂ - y₁)/(x₂ - x₁)
m = (-4 - 1)/(0 - 4)
m = -5/-4
m = 5/4
Now that we have the slope, use that and either point to get the equation of the line.
y - y₁ = m(x - x1)
y + 4 = 5/4(x - 0)
y + 4 = 5/4x
y = 5/4x - 4
Hence, option B is correct.
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