Write an equation in slope-intercept form of the line that passes through the point (8, 2) and is parallel to the graph of the e
quation y=4x-3
1 answer:
Answer:
y = 4x - 30
Step-by-step explanation:
The general slope-intercept equation for a straight line is
y = mx + b
For y = 4x – 3, m = 4
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The other equation passes through (8,2) and has slope 4:
y = 4x +b Set x = 8, y = 2.
2 = 4×8 + b
2 = 32 + b Subtract 32 from each side
b= -30
The equation for the second graph is
y = 4x – 30
The graph below shows Equation (1) as a red line.
The graph of Equation 2 is the green line that passes through (8,2), runs parallel to Equation (1), and has a y-intercept at (0,-30.
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