1. Solve exponential equations: ax=b, where a>0, a≠1, b>0
1 answer:
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<span><u><em>Answer:</em></u>
y = 5x - 7
<u><em>Explanation:</em></u>
<u>The general form of the linear line in slope-intercept form is:</u>
y = mx + c
where:
m is the slope
c is the y-intercept
<u>1- getting the slope:</u>
The slope of the line can be calculated using the following formula:
m = </span>
<span>
We are given the points:
(3,8) representing (x</span>₁<span>,y</span>₁<span>)
(2,3) representing (x</span>₂<span>,y</span>₂<span>)
Substitute with the givens in the above equation to get the slope as follows:
m = </span>
<span> = 5
<u>Therefore, the equation now became:</u>
y = 5x + c
<u>2- getting the y-intercept:</u>
To get the value of the c, we will use any of the given points, substitute in the equation we got in part 1 and solve for c. I will use point (2,3) as follows:
y = 5x + c
3 = 5(2) + c
3 = 10 + c
c = 3 - 10
c = -7
<u>Based on the above, the equation of the line is:</u>
y = 5x - 7
Hope this helps :)</span>
y = 5x - 7
<u><em>Explanation:</em></u>
<u>The general form of the linear line in slope-intercept form is:</u>
y = mx + c
where:
m is the slope
c is the y-intercept
<u>1- getting the slope:</u>
The slope of the line can be calculated using the following formula:
m = </span>
<span>
We are given the points:
(3,8) representing (x</span>₁<span>,y</span>₁<span>)
(2,3) representing (x</span>₂<span>,y</span>₂<span>)
Substitute with the givens in the above equation to get the slope as follows:
m = </span>
<u>Therefore, the equation now became:</u>
y = 5x + c
<u>2- getting the y-intercept:</u>
To get the value of the c, we will use any of the given points, substitute in the equation we got in part 1 and solve for c. I will use point (2,3) as follows:
y = 5x + c
3 = 5(2) + c
3 = 10 + c
c = 3 - 10
c = -7
<u>Based on the above, the equation of the line is:</u>
y = 5x - 7
Hope this helps :)</span>