Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

complete the equation of the line through (6,−6)(6,-6) and (8,8)(8,8)

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Find the center of a circleright chevron icon

Full solution

Q. complete the equation of the line through (6,−6)(6,-6) and (8,8)(8,8)
  1. Calculate Slope: To find the equation of a line, we need to determine the slope mm of the line using the slope formula m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}, where (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) are the coordinates of the two given points.\newlineLet's calculate the slope using the points (6,−6)(6, -6) and (8,8)(8, 8).\newlinem=8−(−6)8−6=142=7m = \frac{8 - (-6)}{8 - 6} = \frac{14}{2} = 7
  2. Use Point-Slope Form: Now that we have the slope, we can use the point-slope form of the equation of a line, which is y−y1=m(x−x1)y - y_1 = m(x - x_1), where mm is the slope and (x1,y1)(x_1, y_1) is a point on the line.\newlineLet's use the point (6,−6)(6, -6) and the slope 77 to write the equation.\newliney−(−6)=7(x−6)y - (-6) = 7(x - 6)
  3. Simplify Equation: Simplify the equation by distributing the slope and moving −6-6 to the other side of the equation.\newliney+6=7x−42y + 6 = 7x - 42\newliney=7x−42−6y = 7x - 42 - 6\newliney=7x−48y = 7x - 48

More problems from Find the center of a circle

Question
Write the equation in standard form for the circle x2+y2−9=0x^2+y^2-9=0.\newline_____
Get tutor helpright-arrow

Posted 9 months ago

Question
Write the equation in standard form for the circle with radius 22 centered at the origin.\newline______
Get tutor helpright-arrow

Posted 9 months ago

Question
What is the center of the circle x2+y2−4=0x^2 + y^2 - 4 = 0?\newlineSimplify any fractions.\newline(_____,______)
Get tutor helpright-arrow

Posted 9 months ago

Question
What is the center of the circle x2+y2=144x^2 + y^2 = 144??\newlineSimplify any fractions.\newline(__,__)\newline
Get tutor helpright-arrow

Posted 9 months ago

Question
What is the radius of the circle x2+y2=36x^2 + y^2 = 36?\newlineSimplify any fractions.\newline____
Get tutor helpright-arrow

Posted 9 months ago

Question
Write the equation in standard form for the circle with radius 1111 centered at the origin. ______
Get tutor helpright-arrow

Posted 9 months ago

Question
Write the equation in standard form for the circle x2+y2+6x−1=0x^2+y^2+6x-1= 0.
Get tutor helpright-arrow

Posted 10 months ago

Question
Write the equation in standard form for the circle x2+y2−4x+7=0x^2+y^2-4x+7= 0.
Get tutor helpright-arrow

Posted 10 months ago

Question
Write the equation in standard form for the circle x2+y2−16=0x^2+y^2-16= 0.
Get tutor helpright-arrow

Posted 10 months ago

Question
Write the equation in standard form for the circle x2+y2+10y−25=0x^2+y^2+10y-25= 0.
Get tutor helpright-arrow

Posted 10 months ago

View all (7)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant