Y=10+3x find the slope and the y-intercept

slope = 3 (Up 3, Right 1)

y-intercept = 10 (0,10)

Step-by-step explanation:

The slope and y-intercept of y = 10 + 3x are 3 and 10 respectively

Solution:

Need to determine slope and y intercept of line having following equation

y = 10 + 3x

y = 3x + 10

The slope-intercept form of line is given as y= mx + c

Where "m" is the slope of line. "m" is the coefficient of "x"

On comparing the above equation with given line y = 3x + 10, we get the slope of line as 3 

y intercept of a line is point where line touches y axis.

As value of x on y axis is zero , we can calculate value of y at x = 0 by substituting x = 0 in equation of line.

On substituting x = 0 in given equation of line , we get

=> y = 0 + 10 =10

Thus the y intercept of given line is 10 and the slope is 3

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

(2,20) means that the 2 is 2 hours and 20 is 20$. so there both 20$ for 2 hours only the same price. like it says. so, the dunk tank and the bounce house are the same price (20$) for the same amount of time (2 hours).

hope i