The equation of the graphed line, in slope-intercept form, is: y = -3x + 7.
How to Find the Equation of a Line in Slope-intercept Form?
To find the equation of the line that is given above, we need to find the slope of the line (m) and the y-intercept (b), then substitute the values into y = mx + b.
Find the slope:
Slope of a line (m) = change in y / change in x = rise/run
The line declines, so, the value of the slope would be negative.
Rise (change in y) = 3 units
Run (change in x) = 1 unit
Slope (m) = - (3 units/1 unit)
Slope (m) = -3
The y-intercept (b) would be the point where the line cuts the y-axis, which is: 7.
Y-intercept (b) = 7
Write the equation by substituting b = 7 and m = -3 into y = mx + b:
y = -3x + 7.
Thus, the equation, in slope-intercept form, is: y = -3x + 7.
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