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