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 = (3 * 0 ) + 10](https://img.qammunity.org/2020/formulas/mathematics/middle-school/f14rcl19mye05pgdi7ngrwr0y50k9d7wr9.png)
=> y = 0 + 10 =10
Thus the y intercept of given line is 10 and the slope is 3