Answer:
y+8 = 2(x-4)
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes. Since we know the slope of the first line is -1/2, this means the slope of the line perpendicular to it is 2.
And since we know the coordinated located on the line, we can fill out the formula for poiny-slope form:
y-y1 = m(x-x1)
Answer:
y = -3/2x + 3
General Formulas and Concepts:
<u>Algebra I</u>
Equality Properties
Standard Form: Ax + By = C
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
Standard Form: 3x + 2y = 6
<u>Step 2: Find slope-intercept form</u>
- Subtract 3x on both sides: 2y = 6 - 3x
- Divide both sides by 2: y = 3 - 3/2x
- Rewrite: y = -3/2x + 3
And we have our final answer!
Answer:
Segment QR is the shortest
<span>We can analyze the four optons. 1) Option A. A parallelogram with all four angles of the same measure can be either a square or a rectangle, then this option is not valid. 2) Optrion B. gives not information. 3) A rhombus (a diamond) is a parallelogram with four congruent side (square is a specific case of rhmbus but not all rhombus are squares), and it is enouh to say that one diagonal bisects two interior angles, to conclude that it is a rhombus. 4) If a diagonal creates congruent angles, but you do not know what happens with the opposed angle, you cannot conclude that the parallelogram is a rectangle; it could be a trapezoid with one side perpendicular to the parallel sides. By t his analysis, the answer is option C.</span>
Answer:
y=4x+7
Step-by-step explanation:
You can find the slope of the line by using the formula of change and y over change in x. ∆y/∆x OR (y2-y1)/(x2-x1)
11-3=8
1--1=2
8/2=4
Let's plug in a y value 3.
3=4*-1+b
b=7
Once you found b rewrite your equation in slope intercept form.
y=4x+7
You can check this equation by plugging in the unused coordinate (1,11) and find it balances.
