Question

Find the slope-intercept form of the equation of each of the following lines.
Passes through (6, 4) and has slope =1/2

Answer 1

Answer:

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

Step-by-step explanation:

Hi there!

Slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept

We're given that the slope is $\displaystyle\frac{1}{2}$. Plug this into $y=mx+b$:

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

Now, to solve for the y-intercept, plug in the point (6,4) and solve for b:

$4=\displaystyle\frac{1}{2}(6)+b\\\\4=3+b\\b=1$

Therefore, the y-intercept of the line is 1. Plug this back into $y=\displaystyle\frac{1}{2}x+b$:

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

I hope this helps!