It is required to find the equation of the given line in standard form.
Recall that the equation of a line in standard form is written as:
Where A, B, C are constants.
The Equation of a line with a slope, m that passes through the point (x₁,y₁) in Point-Slope form is given as:
The slope formula for a line that passes through points (x₁,y₁) and (x₂,y₂) is given as:
Notice from the graph that the line passes through points (2,0) and (4,5).
Substitute (x₁,y₁)=(2,0) and (x₂,y₂)=(4,5) into the slope formula to find the slope:
Substitute m=5/2 and the points (x₁,y₁)=(2,0) into the point-slope form of the equation of a line:
Next, rewrite the equation in the standard form of the equation of a line:
The required equation in standard form is -5/2 x+ y = -5.