Will give brainliest. 1.What is the equation of a line with a slope of 3 and a point (3, 1) on the line? Express the equation in the form of y=mx+b where m is the slope and b is the y-intercept.
Mathematics · College · Thu Feb 04 2021
Answered on
Given:
(3, 1)
x1 = 3
y1 = 1
m = 3
Equate the points in slope-intercept form.
Before equating in slope-intercept, we must first solve in point-slope form.
Formula for the point-slope form:
y -y1 = m (x - x1)
Formula for the slope-intercept form
y = mx + b
Solution:
Solve for point-slope form first, before going to slope-intercept form.
Substitute the given values of x1, m and y1 to the formula for the point-slope form.
y - 1 = 3 ( x -3 )
In order to equate to slope-intercept form, we simply need to distribute 3 to each value inside the parenthesis, and then transpose -1 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
y - 1 = 3x - 9
y = 3x - 9 + 1
y = 3x - 8
Final answer:
y = 3x - 8