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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Answer:
1. 11
2. D: 90
Step-by-step explanation:
Hope I helped and can I have brainliest please? :)
Steps:
1. if you put this in a calculator this is how you would get the answer:
(2*3)^(2) -5^(2) and you get 11.
2. same with this one: 3^(4)+9
so 3x3x3x3+9=90
Letter B and Letter C would be correct
Answer:
ONE CORRECTION:
all good, except the last should be Transitive Property
Step-by-step explanation:
If J is congruent to L and L is congruent to KNL, then J is congruent to KNL. This is what transitive property means.
Step-by-step explanation:
ln(x) + ln(x + 25) = 0
ln(x(x + 25)) = 0
ln(x² + 25x) = 0
ln(x² + 25x) = ln(1) , x ≥ 0
x² + 25x = 1
x² + 25x + 625/4 = 1 + 625/4
(x + 25/2)² = 629/4
x + 25/2 = ±√(629/4)
x = ( -25 ±√629)/2
x = (-25 - √629)/2 atau ( -25 + √629)/2
(-25 - √629)/2 ≥ 0 NOT PROVED
(-25 + √629)/2 ≥ 0 PROVED
Solution → x = (-25 + √629)/2