Question 350192
question 1
The slope of a line is 12 and the point (1, 10) is on the line. Express the line in slope-intercept form.
question 2
The slope of a line is 11 and the point (14, 19) is on the line. Express the line in slope-intercept form.


slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept (vertical-intercept or point (0,b))


1.) y = mx + b, plug in m = 12, x = 1, y = 10, solve for b
10 = 12(1) + b
10 = 12 + b
10 - 12 = b
-2 = b
the equation of the line is y = 12x - 2


2.) y = mx + b, plug in m = 11, x = 14, y = 19, solve for b
19 = 11(14) + b
19 = 154 + b
19 - 154 = b
-135 = b
the equation of the line is y = 11x - 135