Answer:
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
[tex]y = (3 \times 0 ) + 10[/tex]
=> y = 0 + 10 =10
Thus the y intercept of given line is 10 and the slope is 3
