Question

14) Which equation represents the line that passes through the point (4,1) and (20,-3)?

Answer 1

Answer:

All of the options are in standard form (ax+by=c). But none of the answers is an option. The correct answer is x+4y=8.

Step-by-step explanation:

The following screenshot is a graphing website to prove that the equation x+4y=8 passes through the points (4,1) and (20,-3).

I don’t know if the equation x+4y=8 is an option for you, because I don’t see it as an option to choose out of the four.

But I hope this helps and answers your question :)

Answer 2

Answer:

First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.