Answer:
slope: -3/5
y-intercept: (0, 4)
slope-intercept form: y = -3/5x + 4
Step-by-step explanation:
<h3><u>
Finding the slope</u></h3>
To find the slope of this line, you would take two points from the table and substitute their coordinates into the slope formula.
Slope formula:
I'm going to use the points (0, 4) and (5, 1). You can really use any point from the table. Substitute these points into the formula to find the slope.
(0, 4), (5, 1) →
This means the slope of the line is -3/5.
<h3><u>Finding the y-intercept</u></h3>
The y-intercept will always have the value of x be 0 (so the point is solely on the y-axis), so by looking at the table we can see that the y-intercept is at (0, 4).
<h3><u>Finding the slope-intercept form</u></h3>
Since we have the slope and a point of the line, we must use point-slope form to find the equation of the line in slope-intercept form. Substitute in the point (0, 4) --you could use any point from the table-- and the slope -3/5 into the point-slope form equation.
point-slope form: y - y1 = m(x - x1) --you'll be substituting the point coordinates and slope into y1, x1, and m.
y - (4) = -3/5(x - (0))
Simplify.
y - 4 = -3/5x
Add 4 to both sides.
y = -3/5x + 4 is the equation of the line in slope-intercept form (you have both the slope and the y-intercept in this form).
Answer:
Answer: x = 33, y = 81..........
To prove it, you can use the Pythagorean theorem and plug in the numbers. If it equals the same number on both sides it is a Pythagorean triple.
a² + b² = c² (c is the hypotenuse or the longest side/length)
77² + 420² = 427²
5929 + 176400 = 182329
182329 = 182329
It is a Pythagorean triple
Haha.
Your answer is B. The reason is because letter B is asking for the absolute value, which is always positive, because distance is always positive. 526.25 > 321.75.
Best wishes,
Hercule.
Answer:
your answer should be 7/5
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Add 3x to both sides.
Step 3: Add 15 to both sides.
Step 4: Divide both sides by 15.