The slope of the line is -2.5
The equation of the line is y = -2.5 x - 8
Step-by-step explanation:
The slope-intercept of an equation is y = m x + b, where
The formula of the slope of a line that passes through points [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
∵ The y-intercept of a line is -8
∴ The line intersect the y-axis at point (0 , 8)
∵ The line passes through point (-4 , 2)
∴ The points (0 , 8) and (-4 , 2) lie on the line
Use them to find the slope of the line
∵ [tex]x_{1}[/tex] = 0 , [tex]x_{2}[/tex] = -4
∵ [tex]y_{1}[/tex] = -8 , [tex]y_{2}[/tex] = 2
∴ [tex]m=\frac{2--8}{-4-0}=\frac{10}{-4}=-2.5[/tex]
∴The slope of the line is m = -2.5
∵ The slope-intercept form of the equation of a line is y = m x + b
∵ m = -2.5
∵ b = -8
∴ The equation of the line is y = -2.5 x + (-8)
∴ y = -2.5 x - 8
The slope of the line is -2.5
The equation of the line is y = -2.5 x - 8
Learn more:
You can learn more about the linear equation in brainly.com/question/12363217
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