find the equation of this straight line, m=3, passing through (1,4)

Recall the slope=intercept form of a linear equation: ** y = mx + b **, where m is the slope of the line and b is the y-intercept (point at which line crosses y-axis: (0, b) )

Given: slope = m = 3

(x, y) = (1, 4) ==> x = 1 , y = 4

y = mx + b

4 = 3(1) + b

4 = 3 + b

4 - 3 = 3 - 3 + b

**1 = b**

Therefore, given that the slope= **m= 3** and the y-intercept= **
b= 1**, the equation of the line is as follows:

** y = 3x + 1**