Slope-Intercept Form from Points - Examples & Practice
Read this topicExplanations 3
- Write a Slope-Intercept Equation from Two Known Points To write an equation in slope intercept form from two points that you already know, you'll have to take a couple of steps:…
By Zora Gilbert, Alex Federspiel, Amy Feraco, Anusha Rahman, Caroline K
- (Video) Writing Equations of Lines by mathman1024 This video by mathman1024 teachs you how to find and write the equation of a line when given at least 222 points. Summary\large…
By Alex Federspiel, Zora Gilbert, Amy Feraco, Jonathan Heller, Anusha Rahman
- Writing Equations Here are the steps: Find the slope (mmm). Find the yyy-intercept (bbb). Replace mmm and bbb with the slope and yyy-intercept (respectively) in y=mx+by = mx + b…
By Amy Feraco, Alex Federspiel, Anusha Rahman
Problems 24
- If you have a line with points (−5,3)(-5,3)(−5,3) and (−4,8)(-4,8)(−4,8), with slope-intercept form y=mx+by = mx + by=mx+b, find 100m+b100m+b100m+b.
- If you have a line with points (6,−2)(6,-2)(6,−2) and (3,1)(3,1)(3,1), with slope-intercept form y=mx+by = mx + by=mx+b, find m+bm+bm+b.
- If you have a line with points (7,9)(7,9)(7,9) and (−3,−6)(-3,-6)(−3,−6), with slope-intercept form y=mx+by = mx + by=mx+b, find m+bm+bm+b.
- If you have a line with points (−5,7)(-5,7)(−5,7) and (−2,10)(-2,10)(−2,10), with slope-intercept form y=mx+by = mx + by=mx+b, find 100m+b100m+b100m+b.
- If you have a line with points (8,1)(8,1)(8,1) and (9,0)(9,0)(9,0), with slope-intercept form y=mx+by = mx + by=mx+b, find m+bm+bm+b.
- You are given an arithmetic sequence ana_nan. If a9=28a_{9} = 28a9=28 and a20=50a_{20} = 50a20=50, find a1a_{1}a1.
- You are given an arithmetic sequence a1,a2,…,a100a_1,a_2,\dots,a_{100}a1,a2,…,a100. If a55=10a_{55} = 10a55=10 and a100=100a_{100} = 100a100=100, find a1a_{1}a1.
- Using the points (12,5)(12,5)(12,5) and (9,3)(9,3)(9,3), what is the equation of the line used to make the ramp?
- Which of the following points represents the yyy-intercept?
- We have part of an equation for a line: y=mx+2y = mx + 2y=mx+2 We also know the line goes through (2,5)(2, 5)(2,5). What is the slope?
- We have a line y=2x+by=2x+by=2x+b The xxx-intercept is (2,0)(2, 0)(2,0), what is the yyy-intercept?
- A line passes through (5,2)(5,2)(5,2) and (3,8)(3,8)(3,8). What is the yyy-intercept?
- A line passes through (4,3)(4, 3)(4,3) and (5,2)(5,2)(5,2). Does it also pass through (45,32)(\frac{4}{5}, \frac{3}{2})(54,23)?
- We have part of an equation for a line: y=mx−7y = mx -7y=mx−7 This line passes through (−2,3)(-2 ,3)(−2,3). What is slope?
- You control the little coin fiend, your starting position is set and you can only make one move. The goal is to get the most amount of coins. Find the slope for the line of move…
- A line has slope 23\frac{2}{3}32. This line also passes through (3,6)(3, 6)(3,6). Which of the following points does this line not pass through?
- A line passes through (9,−4)(9, -4)(9,−4) and (−5,−2)(-5, -2)(−5,−2). What is the slope of this line?
- A line passes through (2,3)(2,3)(2,3) and has a slope of 34\frac{3}{4}43. What is its yyy-intercept?
- Write an equation of a line that goes through the points (1,3)(1,3)(1,3) and (7,12)(7,12)(7,12).
- Write an equation for a line that passes through (−3,−5)(-3,-5)(−3,−5) and (16,33)(16,33)(16,33).
- Given the two following points on a line, find the equation of the line. (5,2),(10,−1)(5,2), (10,-1)(5,2),(10,−1)
- A line passes through (−4,−5)(-4,-5)(−4,−5) and (1,15)(1,15)(1,15). What is the yyy-intercept of this line?
- A line passes through (34,−1)(\frac{3}{4}, -1)(43,−1) and (1,−54)(1, -\frac{5}{4})(1,−45). What is the equation of the line, in the form of y=mx+by=mx+by=mx+b?
- A line passes through points (−1,−6)(-1,-6)(−1,−6) and (−5,−18)(-5, -18)(−5,−18). What is the equation to this line?