Question

Need help will give thanks and brainliest

Answer 1

Answer:

$y=\frac{2}{3} x-1$

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form:

$y=mx+b$ where $m$ is the slope and $b$ is the y-intercept (the value of y when the line intercepts the y-axis)

1) Find the slope of the line (m)

The equation for slope: $\frac{y_2-y_1}{x_2-x_1}$ when the given points are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the given points (3,1) and (6,3)

$\frac{y_2-y_1}{x_2-x_1}$

$=\frac{3-1}{6-3}\\=\frac{2}{3}$

Now, plugging this back into $y=mx+b$, our equation looks like this:

$y=\frac{2}{3} x+b$

2) Find the y-intercept of the line

To find the y-intercept, we take the equation that we have so far and plug in any given point to solve for b. For example, we can use the point (3,1):

$1=\frac{2}{3}*3+b\\1=2+b$

Subtract both sides by 2 to isolate b

$1-2=2+b-2\\-1=b$

3) Plug m and b into y=mx+b

$y=\frac{2}{3} x-1$

I hope this helps!