Respuesta :

y=2x+5 bc the slope is 10/5=2 and the line starts at 5 so thats the y-inter.

Answer:

y = 2x + 5

Step-by-step explanation:

In order to write this equation (in slope-intercept form), you need to find the slope (m) and the y-intercept (b) so that you can plug them into the following linear equation:

y = mx + b

First, you need to find the slope. You can do this by taking two points on the graph and doing (change in y/change in x):

using (5, 15) and (10, 25),

(25 - 15) / (10 - 5)

= 10/5

= 2

so m = 2

Now, you need to find the y-intercept. Since a graph is provided, you just need to look at the y-intercept, which is 5, so b = 5.

Finally, you just need to put it all together:

y = mx + b, where m= 2 and b = 5,

y = 2x + 5