How do I find the slope, y-intercept, and coordinates of (-1,7) (0,5)?
Question
Answer:
Answer: The slope for the given points is - 2 , and y- intercept is 5 Step-by-step explanation:Given points as :( - 1 , 7 ) and ( 0 , 5 )Now slope of line in points form as Slope = m = [tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]or, m = [tex]\dfrac{5 - 7}{0 + 1}[/tex]or, m = - 2so, Slope of line is - 2Now equation of line is given as y - [tex]y_1[/tex] = m × ( x - [tex]x_1[/tex] )or, y - 7 = ( - 2 ) × ( x + 1)or, y - 7 = - 2 x - 2Or, equation of line is y = - 2 x + 5Now, for y - intercept , x = 0So, from line equation y = - 2 × 0 + 5Or, y = 0 + 5∴ y = 5Hence The slope for the given points is - 2 , and y- intercept is 5 Answer
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10 months ago
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