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You can write the equation in point-slope form, which has the format <em>y-y</em>subscript1=<em>m</em>(<em>x-x</em>subscript1), with <em>y</em>subscript1 and <em>x</em>subscript1 being the y and x coordinates for a point on the line, and <em>m</em> being the slope. </span>
<span /><span>Substitute a y and x coordinate into the equation so you have <em>y</em>-6=<em>m</em>(<em>x</em>-2)</span>
<span /><span><span>Then find the slope so you can replace <em>m</em>. The slope formula is <em />(<em>y</em>subscript2-<em>y</em>subscript1)/(<em>x</em>subscript2-<em>x</em>subscript1). </span><span>Substitute the coordinates in so you have <em>m</em>=(16-6)/(4-2), which simplifies to 10/2 and then 5.</span></span>
<span><span /></span><span>Now the equation is <em>y</em>-6=5(<em>x</em>-2)</span>
<span />If you want a different form, for example slope-intercept form, you can change it to that:
<span><em>y</em>-6=5(<em>x</em>-2)</span>
<span><em>y</em>=5x-4</span>
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Answer:
y = (-5/4)x + 5
Step-by-step explanation:
Slope-intercept form is y = mx + b
m is the slope and b is the y-intercept
To find m, we can use the plotted points on the graph
(0,5)(4,0)
Now, do delta y/ delta x
(0-5)/(4-0)
slope = -5/4
Now, the y-intercept is the point where the graph crosses the y-axis
This point is where x is 0. Here, when x is 0, y is 5.
Therefore, the y-intercept is 5
Finally, replace what you've found into the equation
y = (-5/4)x + 5
Answer:
A = π(7x + 3)² cm²
Step-by-step explanation:
A = πr² is the appropriate equation. If r = 7x + 3 cm, then the area of this particular circle is:
A = π(7x + 3)² cm²
Answer:
87.92 rounded to the nearest tenth would be 87.9 because you wouldn't round up unless the number after the 9 was 5 or higher.
Step-by-step explanation: