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.
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;
[tex]\rm m = \frac{y_2-y_1}{x_2-x_1} \\\\ m = \frac{0-4}{6-(-2)} \\\\ m = \frac{-4}{8} \\\\ m = \frac{-1}{2}[/tex]
The standard line equation is;
y-y₁=m(x-x₁)
[tex]\rm y-4= \frac{-1}{2}(x-(-2)) \\\\ 2y-8 = x+2 \\\\ 2y =x+10 \\\\ y = 0.5 x + 5[/tex]
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;
https://brainly.com/question/3605446
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