Question
Given the straight line that passes through the points (1,-4) and (4,5): a) Determine the main form of the equation of the line b) Graph the line
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Answer to a math question Given the straight line that passes through the points (1,-4) and (4,5): a) Determine the main form of the equation of the line b) Graph the line
Esmeralda
4.7102 Answers
a). Calculate the slope m of the line using the formula:
m = \frac{y_2 - y_1}{x_2 - x_1}
Substituting the given points (1,-4) and (4,5):
m = \frac{5 - (-4)}{4 - 1}
m = \frac{9}{3}
m = 3
Use the slope-intercept form of the line equation, y = mx + c, and plug in the slope m and one of the points, for instance, (1,-4):
-4 = 3(1) + c
-4 = 3 + c
c = -7
Write the equation of the line:
y = 3x - 7
Substituting the given points (1,-4) and (4,5):
Use the slope-intercept form of the line equation, y = mx + c, and plug in the slope m and one of the points, for instance, (1,-4):
Write the equation of the line:
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