Point Slope Form - Definition & Examples
Read this topicExplanations 3
- Definition of point slope form Point slope form uses slope and a single point to describe a line. Equations take the form y−y1=m(x−x1)y - y_1 = m(x - x_1)y−y1=m(x−x1), where x…
By Zora Gilbert, Alex Federspiel, Amy Feraco, Anusha Rahman, Gabi Slizewska
- (Video) Writing Equations of Lines by mathman1024 This video by mathman1024 shows you how to find the equation of a line, given two points, by using the point slope equation. Su…
By Alex Federspiel, Zora Gilbert, Amy Feraco, Jonathan Heller, Anusha Rahman, Gabi Slizewska
- Point Slope Form Equation The equation of a line is in point slope form when it looks like: y−y1=m(x−x1)y-y_1=m(x-x_1)y−y1=m(x−x1) Here, xxx and yyy are variables. They differ…
By Alex Federspiel, Anusha Rahman, Gabi Slizewska
Problems 27
- If you have a line going through points (4,−3)(4,-3)(4,−3) and (16,9)(16, 9)(16,9), with point-slope form (y−9)=m(x−x1)(y-9)=m(x-x_1)(y−9)=m(x−x1), find 10m+x110m + x_110m+x1.
- If you have a line going through points (12,−14)(12,-14)(12,−14) and (9,−7)(9, -7)(9,−7), with point-slope form (y−y1)=m(x−12),(y-y_1)=m(x-12),(y−y1)=m(x−12), find y1/my_1 / my…
- If you have a line going through points (−8,−4)(-8,-4)(−8,−4) and (−1,8)(-1, 8)(−1,8), with point-slope form (y+4)=m(x−x1)(y+4)=m(x-x_1)(y+4)=m(x−x1), find 7m+x17m + x_17m+x1.
- If you have a line going through points (4,8)(4,8)(4,8) and (−5,−10)(-5, -10)(−5,−10), with point-slope form (y−y1)=m(x−4)(y-y_1)=m(x-4)(y−y1)=m(x−4), find y1/my_1 / my1/m.
- 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 (2,3)(2,3)(2,3) and has a slope of 34\frac{3}{4}43. What is its yyy-intercept?
- What is bbb in the slope-intercept form equivalent to?
- In order to write the equation for the line above in point-slope form, we need to find the slope. What is the slope?
- Find the equation for the line above in point-slope form.
- A line passes through the two points above. Write the equation of the line in point-slope form.
- The slope of a line is 3 and it passes through (−4,−13)(-4, -13)(−4,−13). What is the xxx-intercept?
- The slope of a line is 333 and the line passes through (−4,−13)(-4, -13)(−4,−13). Find the equation in slope-intercept form and simplify it.
- The slope of a line is 23\frac{2}{3}32 and it passes through point (2,3)(2, 3)(2,3). Does this line also pass through (4,6)(4,6)(4,6)?
- A line with slope m1m_1m1 passes through point PPP. How can you check if point QQQ is also on this line?
- There are points AAA, BBB, and CCC all on the same line. The slope of this line is mmm. Which of the following is false?
- What is the yyy-intercept?
- y−1=2(x−2)y-1=2(x-2)y−1=2(x−2) What is a point on this line?
- A line passes through two points. Which forms can you write the equation of the line in?
- Are the two lines the same?
- Are the two lines the same?
- Given that (x,y)=(−2,5)(x,y) = (-2,5)(x,y)=(−2,5) and (x1,y1)=(18,−10)(x_1, y_1)=(18,-10)(x1,y1)=(18,−10), two points on the same line, write the equation in point-slope form.
- A line passes through points (10,−14)(10,-14)(10,−14) and (7,10)(7,10)(7,10), write the equation of the line in the form of y−y1=m(x−10)y-y_1= m(x-10)y−y1=m(x−10).
- Given that (x,y)=(7,12)(x,y) = (7,12)(x,y)=(7,12) and (x1,y1)=(5,3)(x_1, y_1)=(5,3)(x1,y1)=(5,3), two points on the same line, write the equation in point-slope form.
- A line passes through points (2,5)(2,5)(2,5) and (−4,−6)(-4,-6)(−4,−6), write the equation of the line in the form of y+6=m(x−x1)y+6= m(x-x_1)y+6=m(x−x1).
- A line passes through point (15,20)(15,20)(15,20) and has slope m=34m=\frac{3}{4}m=43, write the equation of the line in point-slope form.
- A line intersects with the xxx-axis at x=3x=3x=3 and has slope m=−2m=-2m=−2. Which of the following is not a valid equation for this line expressed in point-slope form? Choose a…
- If a line passes through points A(−1,6),B(4,9)A(-1,6), B(4,9)A(−1,6),B(4,9), write the equation of the line in the form of y−9=m(x−x1)y-9 =m(x-x_1)y−9=m(x−x1).