Answer:
y = 3x - 11
Explanation:
A line that has a slope of 3 can be represented as:
y = 3x where 3 is the slope and in slope-intercept formula, 3 is located in m where m also stands for the slope
(Slope-intercept form: y = mx + b)
To write the equation of the line that has a slope of 3 and goes through the point (4, 1), you first have to take that point and plug it in the slope-intercept equation.
y = 3x + b because we also need a y-intercept in the equation so…
(1) = 3(4) + b
1 = 12 + b
b = 1 - 12
B = -11
so the y-intercept of the line is -11
and the equation of the line is y = 3x - 11