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 with a slope of 55 passes through the points (−7,−6)(-7,-6) and (−6,t)(-6,t). What is the value of tt?\newlinet = ____

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 8right chevron icon
Find a missing coordinate using sloperight chevron icon

Full solution

Q. A line with a slope of 55 passes through the points (−7,−6)(-7,-6) and (−6,t)(-6,t). What is the value of tt?\newlinet = ____
  1. Understand slope concept: Understand the concept of slope.\newlineThe slope of a line is the ratio of the change in the yy-coordinate to the change in the xx-coordinate between any two points on the line. It is often represented by the letter 'mm'.\newlineThe formula for slope when given two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is:\newlinem=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}
  2. Apply slope formula: Apply the slope formula to the given points and slope.\newlineWe know the slope mm is 55, and we have the points (−7,−6)(-7, -6) and (−6,t)(-6, t). Let's denote (−7,−6)(-7, -6) as (x1,y1)(x_1, y_1) and (−6,t)(-6, t) as (x2,y2)(x_2, y_2).\newlineUsing the slope formula:\newline5=t−(−6)−6−(−7)5 = \frac{t - (-6)}{-6 - (-7)}
  3. Simplify equation and solve: Simplify the equation and solve for tt.5=t+6−6+75 = \frac{t + 6}{-6 + 7}5=t+615 = \frac{t + 6}{1}Now, multiply both sides by 11 to isolate (t+6)(t + 6) on one side:5×1=t+65 \times 1 = t + 6
  4. Subtract to solve for tt: Subtract 66 from both sides to solve for tt.5=t+65 = t + 65−6=t5 - 6 = tt=−1t = -1

More problems from Find a missing coordinate using slope

Question
What is the slope of the line through (−7,−2) (-7,-2) and (−6,7) (-6,7) ?\newlineChoose 11 answer:\newline(A) −19 -\frac{1}{9} \newline(B) −9-9\newline(C) 19 \frac{1}{9} \newline(D) 99
Get tutor helpright-arrow

Posted 9 months ago

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

Posted 9 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) −4-4\newline(D) 14 \frac{1}{4}
Get tutor helpright-arrow

Posted 9 months ago

Question
What is the slope of the line through (6,9) (6,9) and (7,1) (7,1) ?\newlineChoose 11 answer:\newline(A) 88\newline(B) −8-8\newline(C) 18 \frac{1}{8} \newline(D) −18 -\frac{1}{8}
Get tutor helpright-arrow

Posted 9 months ago

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

Posted 9 months ago

Question
What is the slope of the line through (−7,−8) (-7,-8) and (0,4) (0,4) ?\newlineChoose 11 answer:\newline(A) 127 \frac{12}{7} \newline(B) −712 -\frac{7}{12} \newline(C) −127 -\frac{12}{7} \newline(D) 712 \frac{7}{12}
Get tutor helpright-arrow

Posted 9 months ago

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

Posted 9 months ago

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

Posted 9 months ago

Question
What is the slope of the line through (−9,6) (-9,6) and (−3,9) (-3,9) ?\newlineChoose 11 answer:\newline(A) 12 \frac{1}{2} \newline(B) −2-2\newline(C) −12 -\frac{1}{2} \newline(D) 22
Get tutor helpright-arrow

Posted 9 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) 75 \frac{7}{5} \newline(B) 57 \frac{5}{7} \newline(c) −75 -\frac{7}{5} \newline(D) −57 -\frac{5}{7}
Get tutor helpright-arrow

Posted 9 months ago

View all (6)

Related topics

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