Question

Write the equation given the point 4,2 and slope 1/2

Answer 1

Answer:

Step-by-step explanation:

Slope intercept form: y = mx + b

here, m is the slope and b is the y-intercept.

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

The line passes through the point(4,2)

.Plugin these x ad y values in the above equation to find 'b'

$2= \dfrac{1}{2}*4+b\\\\\\2=2+b\\\\b = 2 - 2$

b = 0

Equation of the line :

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

Answer 2

Hello.

We have a point that the line passes through and its slope.

Let's write the equation in Point-Slope Form:

y-y₁=m(x-x₁)

In this case,

y₁=2

m=$\displaystyle\frac{1}{2}$

x₁=4

Plug in the values:

$\mathrm{y-2=\displaystyle\frac{1}{2} (x-4)}$

This is point-slope form. Now, what about Slope-Intercept?

First, we should distribute $\displaystyle\frac{1}{2}$:

$\mathrm{y-2=\displaystyle\frac{1}{2} x-2}$

Add 2 to both sides:

$\mathrm{y=\displaystyle\frac{1}{2} x-2+2}$

Simplify:

$\mathrm{y=\displaystyle\frac{1}{2} x}$

I hope it helps.

Have a nice day.

$\boxed{imperturbability}$