The equation in slope-intercept form is y = 13/8x -17/8 and the equation in standard form is 13x -8y = 17
<h3>Equation of a line</h3>
A line is the shortest distance between two points. The equation of a line in slope-intercept form is y = mx + b while as a standard notation is Ax+By = C
Given the coordinate points (-3, -7) and (5, 6)
<u>Determine the slope</u>
Slope = 6-(-7)/5-(-3)
Slope = 13/8
<u>For the y-intercept</u>
6 = 13/8(5) + b
6 = 65/8 + b
b = 6 - 65/8
b = -17/8
The equation in slope-intercept form is y = 13/8x -17/8
Write in standard form
Recall y = 13/8x - 17/8
<em>Multiply through by 8</em>
8y = 13x - 17
-13x + 8y = -17
13x -8y = 17
Hence the equation in standard form is 13x -8y = 17
Learn more on equation of a line here: brainly.com/question/13763238
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The answers are right! Good job!
Problem 16
Divide both sides by 2 to undo the multiplication of 2 (done to the t).
2t > 324
2t/2 > 324/2
t > 162
Answer: t > 162
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Problem 17
Similar to problem 16, we will divide both sides by 12
12y >= 1
12y/12 >= 1/12
y >= 1/12
Answer: y >= 1/12
Note: the symbol ">=" without quotes means "greater than or equal to".
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Problem 18
To undo the division of 9.5, we multiply both sides by 9.5
x/9.5 < 11
9.5*x/9.5 < 9.5*11
x < 104.5
Answer: x < 104.5
Answer:
170 degree. is the answer
2) Find the area of a parallelogram with a height of 8 inches and a base of 14 inches.
A=bh=14·8=112in²
3) Find the surface Area of the rectangular prism with a length of 15 cm, height of 7 cm, and width of 5 cm.
A=2(wl+hl+hw)=2·(5·15+7·15+7·5)=430cm²
4) Find the volume of the following figure:
5) You are wrapping a cube shape present that is 9 inches tall. How much wrapping paper will you need to wrap the entire present.
SA = 
= 9x9x9 = 729in²
6) A truck has a trailer that has a length of 13ft, a width of 6ft, and a height of 8ft. What is the volume of the trailer?
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