According to the point-slope form of the equation of a line, what point does the graph of each equation pass through and what is the line’s slope?
(a)
point
slope
(b)
point
slope

Ask by Fowler Bartlett. in the United States

Mar 31,2025

Question

According to the point-slope form of the equation of a line, what point does the graph of each equation pass through and what is the line’s slope?
(a)
point
slope
(b)
point
slope

Ask by Fowler Bartlett. in the United States

Mar 31,2025

UpStudy AI · Accepted Answer

(a) The given equation is  
$$
y - 4 = 2(x - 8)
$$  
This is in the point-slope form  
$$
y - y_1 = m(x - x_1)
$$  
where  
$$
(x_1, \, y_1) = (8, 4) \quad \text{and} \quad m = 2.
$$

(b) The given equation is  
$$
y + 6 = -4(x + 2)
$$  
This can be rewritten as  
$$
y - (-6) = -4(x - (-2))
$$  
so in the point-slope form,  
$$
(x_1, \, y_1) = (-2, -6) \quad \text{and} \quad m = -4.
$$
(a) The graph passes through the point (8, 4) and has a slope of 2. (b) The graph passes through the point (-2, -6) and has a slope of -4.

According to the point-slope form of the equation of a line, what point does the graph of each equation pass through and what is the line’s slope?
(a)
point
slope
(b)
point
slope

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According to the point-slope form of the equation of a line, what point does the graph of each equation pass through and what is the line’s slope? (a) point slope (b) point slope

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Latest Algebra Questions

According to the point-slope form of the equation of a line, what point does the graph of each equation pass through and what is the line’s slope?
(a)
point
slope
(b)
point
slope