Question

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

Answer 1

Answer:

The equation in slope-intercept form that describes a line through (4, 2) with  slope $\frac{1}{2}$ is $y = \frac{1}{2}x$

Solution:

In the question it is given that the line passes through the points (4,2) which has a slope (m) = $\frac{1}{2}$

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 =  $\frac{1}{2}$  

Substituting the values in slope intercept form equation we get

$\begin{array}{l}{2=\frac{1}{2} \times 4+c} \\\\ {\Rightarrow 2=2+c} \\\\ {\Rightarrow 2-2=c} \\\\ {c=0}\end{array}$

Thus the equation in slope-intercept form that describes a line through (4, 2) with  slope $\frac{1}{2}$ is $y = \frac{1}{2}x$