write an equation in slope-intercept form for the line that satisfies each set of conditions. passes through (4,-10), parallel t o y=(7/8)x-3
1 answer:
Answer:
y + 10 = 7/8(x - 4)
or
y = 7/8x -27/2
Step-by-step explanation:
Parallel lines have the same slope. This enables that they never cross. The slope of the line y = 7/8x - 3 is 7/8. So the slope of the parallel line is also 7/8.
Substitute m = 7/8 and (4,-10) into the point slope form of the line:
y - -10 = 7/8 (x - 4)
y + 10 = 7/8(x - 4)
Simplify to get the equation in y = mx+b.
y + 10 = 7/8 x - 28/8
y + 10 = 7/8x -7/2
y = 7/8x -27/2
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