Question

Write an equation representing the relationship of 10:20 shown in the graph ​

Answer 1

Answer:

$20=2(10)$

Step-by-step explanation:

10:20 is a good point that passes a line to another.

This graph is a linear graph.

The linear equation is

$y=mx+b$

$y$ = 20 (the y coordinate in the graph)

$m$ = slope

$x$ = 10 (the x coordinate in the graph)

$b$ = y-intercept

Finding slope

To find the equation, we'll need to plug in the values in the formula. To find slope using two points, use the formula, then plug in the values:

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

(10, 20) and (20, 40)

$=\frac{40-20}{20-10}$

$= \frac{20}{10}$

$\bold{m= 2}$

Finding the y-intercept

You have to find the slope first before finding the y-intercept. So, plugin one of the two points we used to find the slope into the formula and solve for $b$

(10, 20)

$20=2(10)+b$

$20=20+b$

$20-20=20-20+b$

$\bold{b=0}$

The y-intercept is zero, and when it is, you do not add it since zero is nothing.

The equation is $20=2(10)$