SOLUTION: Find an equation of the line that satisfies the conditions. Write the equation in slope-intercept form. Through (–8, 5); parallel to the line 4x – 9y = 10

Algebra ->  Linear-equations -> SOLUTION: Find an equation of the line that satisfies the conditions. Write the equation in slope-intercept form. Through (–8, 5); parallel to the line 4x – 9y = 10       Log On


   

Question 529117: Find an equation of the line that satisfies the conditions. Write the equation in slope-intercept form.
Through (–8, 5); parallel to the line 4x – 9y = 10
Answer by stanbon(75887) About Me  (Show Source):
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Find an equation of the line that satisfies the conditions. Write the equation in slope-intercept form.
Through (–8, 5); parallel to the line 4x – 9y = 10
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Find slope of the given line:
9y = 4x - 10
y = (4/9)x - (10/9)
slope = 4/9
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Find equation of line with slope = 4/9 passing thru (-8,5).
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Form: y = mx + b
5 = (4/9)*-8 + b
5 = (-32/9) + b
b = (45/9)+(32/9)
b = 77/9
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Equation:
y (4/9)x + (77/9)
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Cheers,
Stan H.
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