Question

Look at this graph. What is the equation of the line in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form. I will give 5 brainlist points if correct

Answer 1

The general equation of line with the two coordinates are :

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Consider any two coordinates from the given graph A & B:

Here, A = ( 10,50) & B = ( 0, 0)

Use this coordinates in the equation of line :

$\begin{gathered} y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \\ \text{Substitute (x}_1,y_1)=(10,50)and(x_2,y_2)=(0,0) \\ y-50=\frac{0-50}{0-10}(x-10) \\ y-50=\frac{50}{10}(x-10) \\ y-50=5(x-10) \\ y-50=5x\text{ - 50} \\ y=5x-50+50 \\ y=5x \end{gathered}$

The equation of the line is y = 5x

The general equation of line in the slope intercept form is express as :

y = mx + b

The given equation of line is y = 5x

On comparing with the given equation of line with the slope intercept form of equation of line

mx + b = 5x

m = 5 and b = 0

So, the slope intercept form is : y = 5x + 0

Answer : Equation of the line in slope-intercept form is y = 5x