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The slope-intercept form of the equation of the line containing the points (−2, 4) and (6, 0) will be y =0.5 x+ 5.
<h3>What is the slope?</h3>A numerical assessment of a line's angle relative to the ground is known as the slope.
The inclination of any line, ray, or line segment is the fraction of the perpendicular to the horizontal distance between any two positions on it.
The slope of the line is found as;
The standard line equation is;
y-y₁=m(x-x₁)
Hence, the slope-intercept form of the equation of the line containing the points (−2, 4) and (6, 0) will be y =0.5 x+ 5.
To learn more about the slope, refer to the link;
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ANSWER
x=100,y=10
EXPLANATION
The given logarithmic equations are;
This implies that,
and
This implies that,
Put equation (2) into equation (1)
Hence y=10.
This implies
ANSWER
EXPLANATION
According to the power property of logarithms:
The given logarithm is
When we apply the power property to this logarithm, we get,