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 that includes the points (−8,h)(-8,h) and (−9,−9)(-9,-9) has a slope of 55. What is the value of hh?\newlineh = ____

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 7right chevron icon
Find a missing coordinate using sloperight chevron icon

Full solution

Q. A line that includes the points (−8,h)(-8,h) and (−9,−9)(-9,-9) has a slope of 55. What is the value of hh?\newlineh = ____
  1. Calculate Slope Formula: To find the value of hh, we need to use the formula for the slope of a line, which is (change in yy) / (change in xx). The slope is given as 55, and we have the coordinates of two points on the line: (−8,h)(-8, h) and (−9,−9)(-9, -9).\newlineThe formula for the slope (mm) is:\newlinem=y2−y1x2−x1m = \frac{y2 - y1}{x2 - x1}\newlineHere, (x1,y1)=(−8,h)(x1, y1) = (-8, h) and (x2,y2)=(−9,−9)(x2, y2) = (-9, -9).
  2. Substitute Values: Substitute the known values into the slope formula:\newline5=(−9−h)/(−9−(−8))5 = (-9 - h) / (-9 - (-8))\newline5=(−9−h)/(−9+8)5 = (-9 - h) / (-9 + 8)\newline5=(−9−h)/(−1)5 = (-9 - h) / (-1)
  3. Solve for h: To find the value of h, we need to solve for h. We can start by multiplying both sides of the equation by −1-1 to get rid of the negative denominator:\newline5×(−1)=(−9−h)5 \times (-1) = (-9 - h)\newline−5=−9−h-5 = -9 - h
  4. Isolate h: Now, we add 99 to both sides of the equation to isolate hh: \newline−5+9=−9−h+9-5 + 9 = -9 - h + 9\newline4=−h4 = -h
  5. Final Solution for h: Finally, we multiply both sides by −1-1 to solve for h:\newline4×(−1)=−h×(−1)4 \times (-1) = -h \times (-1)\newline−4=h-4 = h

More problems from Find a missing coordinate using slope

Question
What is the slope of the line through (−2,−6)(-2,-6) and (2,2)(2,2)?\newlineChoose 11 answer:\newline(A) 12\frac{1}{2}\newline(B) −2-2\newline(C) 22\newline(D) −12-\frac{1}{2}
Get tutor helpright-arrow

Posted 10 months ago

Question
What is the slope of the line through (−10,1)(-10,1) and (0,−4)(0,-4)? Choose 11 answer: \newline(A) 22 \newline(B) 12\frac{1}{2} \newline(C) −12-\frac{1}{2} \newline(D) −2-2
Get tutor helpright-arrow

Posted 10 months ago

Question
What is the slope of the line through (−9,−6)(-9,-6) and (3,−9)(3,-9)? Choose 11 answer: \newline(A) −4-4 \newline(B) 14\frac{1}{4} \newline(C) 44 \newline(D) −14-\frac{1}{4}
Get tutor helpright-arrow

Posted 10 months ago

Question
What is the slope of the line through \newline(−5,−10)(-5,-10) and \newline(−1,5)(-1,5)?\newlineChoose 11 answer:\newline(A) \newline154\frac{15}{4}\newline(B) \newline415\frac{4}{15}\newline(C) \newline−154-\frac{15}{4}\newline(D) \newline−415-\frac{4}{15}
Get tutor helpright-arrow

Posted 8 months ago

Question
What is the slope of the line through (−1,8)(-1,8) and (3,−4)(3,-4)? Choose 11 answer: \newline(A) −13-\frac{1}{3} \newline(B) 13\frac{1}{3} \newline(C) 33 \newline(D) −3-3
Get tutor helpright-arrow

Posted 10 months ago

Question
What is the slope of the line through (−4,2)(-4,2) and (3,−3)(3,-3)? Choose 11 answer: (A) 75\frac{7}{5} (B) −75-\frac{7}{5} (C) −57-\frac{5}{7} (D) 57\frac{5}{7}
Get tutor helpright-arrow

Posted 10 months ago

Question
What is the slope of the line through (2,−2)(2,-2) and (9,3)(9,3)? \newlineChoose 11 answer:\newline(A) 57\frac{5}{7}\newline(B) −57-\frac{5}{7}\newline(C) 75\frac{7}{5}\newline(D) −75-\frac{7}{5}
Get tutor helpright-arrow

Posted 10 months ago

Question
What is the slope of the line through (1,−1)(1,-1) and (5,−7)(5,-7)? Choose 11 answer: (A) −32-\frac{3}{2} (B) 32\frac{3}{2} (C) −23-\frac{2}{3} (D) 23\frac{2}{3}
Get tutor helpright-arrow

Posted 10 months ago

Question
What is the slope of the line through (1,0)(1,0) and (3,8)(3,8)? Choose 11 answer: (A) −14-\frac{1}{4} (B) 44 (C) −4-4 (D) 14\frac{1}{4}
Get tutor helpright-arrow

Posted 10 months ago

Question
What is the slope of the line through (−1,−7)(-1,-7) and (3,9)(3,9)?\newlineChoose 11 answer:\newline(A) 14\frac{1}{4}\newline(B) 44\newline(C) −14-\frac{1}{4}\newline(D) −4-4
Get tutor helpright-arrow

Posted 10 months ago

View all (59)

Related topics

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