Question

a line passes through the origin and has a slope of 1/2. which of the following points does the line pass through? (0, ) (, 1) (1, 2) (2, 1) user: what is the slope of the line passing through (1, 2) and (3, 8)? slope = 1/7 slope = 1/3 slope = 3 slope = 7

Answer 1

General equation of the line
y = mx + c

m=1/2
so 
y = (1/2)x + c
if it passes through origin (0,0)
0 = (1/2*0) + c
0 = 0 + c
c = 0

so the equation is
y = (1/2)x 

if the x is equal to 2,
y is (1/2)*2 = 1

so the point will be
(2,1)

Answer 2

Answer:

#1 Passing point: (2,1)

#2 Slope = 3

Step-by-step explanation:

#1

A line passes through the origin and has a slope of 1/2

Passing point (0,0) and Slope (m) = 1/2

Using Point Slope form:

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

$y-0=\dfrac{1}{2}(x-0)$

$y=\dfrac{1}{2}x$

Check Point: (2,1)

$1=\dfrac{1}{2}\times 2\Rightarrow 1=1$ TRUE

Hence, The passing point is (2,1)

#2

The slope of the line passing through (1, 2) and (3,8)

Formula:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{8-2}{3-1}$

$m=3$

Hence, The slope of line passing through two points is 3