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:

A line has a slope of 16\frac{1}{6} and passes through the point (−3,−8)(-3,-8). What is its equation in point-slope form?\newlineUse the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.\newliney−______=______(x−______)y - \_\_\_\_\_\_ = \_\_\_\_\_\_(x - \_\_\_\_\_\_)

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Point-slope form: write an equationright chevron icon

Full solution

Q. A line has a slope of 16\frac{1}{6} and passes through the point (−3,−8)(-3,-8). What is its equation in point-slope form?\newlineUse the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.\newliney−______=______(x−______)y - \_\_\_\_\_\_ = \_\_\_\_\_\_(x - \_\_\_\_\_\_)
  1. Identify Point-Slope Form: Identify the point-slope form of a linear equation.\newlineThe point-slope form of a linear equation is given by the formula y−y1=m(x−x1)y - y_1 = m(x - x_1), where mm is the slope of the line and (x1,y1)(x_1, y_1) is a point on the line.
  2. Substitute Slope and Point: Substitute the given slope and point into the point-slope form.\newlineWe are given the slope m=16m = \frac{1}{6} and the point (−3,−8)(-3, -8). Substituting these values into the point-slope form, we get:\newliney−(−8)=(16)(x−(−3))y - (-8) = \left(\frac{1}{6}\right)(x - (-3))
  3. Simplify Equation: Simplify the equation.\newlineSimplifying the equation, we get:\newliney+8=16(x+3)y + 8 = \frac{1}{6}(x + 3)\newlineThis is the equation of the line in point-slope form.

More problems from Point-slope form: write an equation

Question
Convert the angle θ=260∘ \theta=260^{\circ} to radians.\newlineExpress your answer exactly.\newlineθ=□ radians  \theta=\square \text { radians }
Get tutor helpright-arrow

Posted 1 year ago

Question
Convert the angle θ=230∘ \theta=230^{\circ} to radians.\newlineExpress your answer exactly.\newlineθ=□ radians  \theta=\square \text { radians }
Get tutor helpright-arrow

Posted 1 year ago

Question
What happens to the value of the expression 80h \frac{80}{h} as h h increases from a small positive number to a large positive number?\newlineChoose 11 answer:\newline(A) It increases.\newline(B) It decreases.\newline(C) It stays the same.
Get tutor helpright-arrow

Posted 1 year ago

Question
What happens to the value of the expression 1+3f 1+3 f as f f increases?\newlineChoose 11 answer:\newline(A) It increases.\newline(B) It decreases.\newline(C) It stays the same.
Get tutor helpright-arrow

Posted 1 year ago

Question
−54+7540+100%= -\frac{5}{4}+\frac{75}{40}+100 \%= \newlineEnter the answer as an exact decimal or simplified fraction.
Get tutor helpright-arrow

Posted 1 year ago

Question
−160100+0.1+14= -1 \frac{60}{100}+0.1+\frac{1}{4}= \newlineEnter the answer as an exact decimal or simplified fraction.
Get tutor helpright-arrow

Posted 1 year ago

Question
0.25−1.125−168= 0.25-1.125-\frac{16}{8}= \newlineEnter the answer as an exact decimal or simplified fraction.
Get tutor helpright-arrow

Posted 1 year ago

Question
Let x3+y2=24 x^{3}+y^{2}=24 .\newlineWhat is the value of d2ydx2 \frac{d^{2} y}{d x^{2}} at the point (2,4) (2,4) ?\newlineGive an exact number.
Get tutor helpright-arrow

Posted 1 year ago

Question
Can this differential equation be solved using separation of variables?\newlinedydx=xy+5x \frac{d y}{d x}=x y+5 x \newlineChoose 11 answer:\newline(A) Yes\newline(B) No
Get tutor helpright-arrow

Posted 1 year ago

Question
The functions g(x)=2(x−5)(x−3) g(x)=2(x-5)(x-3) and h(x)=2(x+5)(x+3) h(x)=2(x+5)(x+3) are graphed in the xy x y -plane. Which of the following is a true statement?\newlineChoose 11 answer:\newline(A) The functions have the same y y -intercept.\newline(B) The functions have the same x x -intercepts.\newline(C) The functions have the same axis of symmetry.\newline(D) The functions have the same vertex.
Get tutor helpright-arrow

Posted 1 year ago

View all (12)

Related topics

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