Question

Find the equation in slope-intercept form that describes a line through (4, 2) with
slope 1/2

Answer 1

The equation in slope-intercept form that describes a line through (4, 2) with slope
`(1)/(2)` is
`y = (1)/(2)x`

Solution:

In the question it is given that the line passes through the points (4,2) which has a slope (m) =
`(1)/(2)`

We have to find the slope intercept form of the line

We know the slope intercept form of a line is given by

y = mx +c where m is the slope of the equation

Here y = 2 ,x = 4 and m =
`(1)/(2)`

Substituting the values in slope intercept form equation we get

`\begin{array}{l}{2=(1)/(2) * 4+c} \\\\ {\Rightarrow 2=2+c} \\\\ {\Rightarrow 2-2=c} \\\\ {c=0}\end{array}`

Thus the equation in slope-intercept form that describes a line through (4, 2) with slope
`(1)/(2)` is
`y = (1)/(2)x`