Use the point-slope formula (if possible)to write an equation of the line given the following information.The slo e^(15)-2/3 , and the line passes through the point (2, 0).The equation of the line is O- 相关知识点: 试题来源: ...
Therefore, according to the point-slope formula: y − (−3)x − 1 = 2. We must solve this for y: y + 3 = 2(x − 1) = 2x − 2. This implies y = 2x − 5.This is the equation of the line.Problem 2. To find the equation of a line given the coördinates of ...
Here, we will learn another way to write a linear function, the point-slope form. y−y1=m(x−x1)y−y1=m(x−x1) The point-slope form is derived from the slope formula. ⎧⎪⎪ ⎪ ⎪ ⎪⎨⎪⎪ ⎪ ⎪ ⎪⎩m=y−y1x−x1assuming x≠x1m(x...
on the line. If we plug these into the slope formula and re-arrange it we get:m=y−y 1 x−x 1 The point-slope form of the equation is where m is the slope and (x1, y1) is point on the line.II.Using the Point−Slope Form to Write the Equation of a Line A.Given a ...
andCrealnumbers 2.slope-interceptform:y=mx+b,wheremslope;y-intercept(0,b) 3.horizontalline:y=# 4.verticalline:x=# sofar…linearequationgraph B.Let(x 1 ,y 1 )beaspecific(fixed)pointonthelineand(x,y)bearandom(general)point ontheline.Ifweplugtheseintotheslopeformulaandre-arrangeitweget: ...
The Point-Slope Formula Leads to the Fundamental Theorem of Calculusdoi:10.2307/2687366Anthony J. MaculaMathematical Association of AmericaCollege Mathematics Journal
For any given point of the line the x-coordinate is 3. This means that the equation of the line is x=3 Video lesson Write the linear equation in the point-slope form for the line that passes through (-1, 4) and has a slope of -1 ...
What is the slope of the line represented by the following formula? y = 2 + 6(x - 3) 6 -3 12 3 -6 2. What is the point-slope form of the equation that goes through the origin and has a slope of 1.5? y = -1.5x y = 1.5 - x ...
Point Slope Formula:This formula only requires knowledge of a single point, and the slope of the line. The formula is {eq}y-y_1 = m(x-x_1).{/eq} In the case of finding the tangent line to a curve, we have {eq}(x_1,y_1) = (a,f(a)){/eq} and {eq}m=f'(a){/eq...
Slope-interceptform: y=13x+163y=13x+163 Point-slope form: y−5=13⋅(x+1)y-5=13⋅(x+1) (−1,5)(2,6)(-1,5)(2,6) ( ) | [ ] √ ≥ 7 8 9 ≤ ...