MHB What is the equation for the line with the same x-intercept as -2x + y = 1?

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To find the equation of the line that shares the same x-intercept as -2x + y = 1, first determine the x-intercept of the given line, which is -1/2. The new line must pass through the point (6, 2) and also have an x-intercept of -1/2. Using the point-slope form, the equation can be derived and then expressed in the standard form Ax + By + C = 0. The final equation will reflect these conditions accurately.
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Find an equation of the line passing through (6, 2) and has the same x-intercept as the line -2x + y = 1. Express final answer in the form Ax + By + C = 0.

How do I find the x-intercept of the given line?

How do I express the final answer in the form given above?
 
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RTCNTC said:
Find an equation of the line passing through (6, 2) and has the same x-intercept as the line -2x + y = 1. Express final answer in the form Ax + By + C = 0.

How do I find the x-intercept of the given line?

How do I express the final answer in the form given above?

x intercept of a line is value of x when y = 0

for -2x + y = 1 we need to compute x when y= 0 we get $-2x = 1$ or $x= \frac{-1}{2}$. this is the x intercept
 
Great. I can take it from here. I suspected that letting y = 0 would yield the needed x-intercept but wanted to be sure.
 
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