How do you write in standard form?

Question

given a slope of 1/2 and and x-intercept of 5 

Answer 1

Standard form is Ax+By=C--with A, B, and C all intgegers with A>0.

Given the slope and y-intercept, we can use point-slope form to get started:  y-y1=m(x-x1) with m being the slope and (x1,  y1) being a point. From what you are given m=1/2 and (x1, y1)=(5,0); the x-intercept is where the line crosses the x-axis with the y-coordinate being 0.

Thus we have y-0 = 1/2(x-5), or y=1/2(x-5), or y=1/2x-5/2.

Multiplying both sides by 2 gives us 2y=x-5.

To ensure that the x coordinate is positive, subtract 2y from each side--0=x-2y-5, or x-2y-5=0.

To get the equation into standard form, add 5 to each side to get x-2y=5.

Answer 2

x intercept 5 means it passes through the point (5,0)

Slope =1/2

 

Equation of line=

 

y-0=1/2(x-5)

 

2y=x-5

2y-x+5=0