Yea im back more help needed
Write an equation of the line shown in each graph, please explain how to do this one and i can understand the rest sorry its sideways i took the pic with my phone
You're looking for a line with the formula y= mx+ b , in which m= slope and b= y intercept.
First, use the slope formula with your two points to find the slope.
$\displaystyle \frac{y2-y1}{x2-x1}$
That is "m."
Next, plug one of your points, such as (-5,0) into the equation.
0= -5m + b
You should have m already from the slope formula. You then solve for b.
Finally, you put it all together.
y= mx+ b
Alternately, to find b you can use the formula y1-y= m(x-x1), called the point-slope formula.
Your two points are $\displaystyle (-5, 0)$ and $\displaystyle (0, 2)$.
You are looking for the equation of the line, i.e. $\displaystyle y = mx + c$ where m is the slope and c is the y-intercept.
We're given the y-intercept. It's 2.
So we just need the slope.
Here, $\displaystyle x_1 = -5, y_1 = 0, x_2 = 0, y_2 = 2$.
So using the slope of a line formula
$\displaystyle y = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 0}{0 - -5} = \frac{2}{5}$.
So the equation of the line is
$\displaystyle y = \frac{2}{5}x + 2$, or if you want to clean it up...
$\displaystyle 5y - 2x - 10 = 0$.