Question

Write an equation in standard form of the line that passes through the given point and has the given slope. (5,0) m=4/3

Answer 1

`\text{The standard form of a line:}\ Ax+By=C`

`\text{The point-slope form:}`

`y-y_1=m(x-x_1)`

`\text{We have the point (5, 0) and the slope}\ m=(4)/(3)`

`\text{substitute:}\\\\y-0=(4)/(3)(x-5)\qquad|\text{use distributive property}\\\\y=(4)/(3)x-(20)/(3)\qquad|\text{multiply both sides by 3}\\\\3y=4x-20\qquad|\text{subtract 4x from both sides}\\\\-4x+3y=-20\qquad|\text{change the signs}\\\\\boxed{4x-3y=20}`