Question

PLEASE HELP?
1.Write the slope-intercept form of the equation of the line parallel to y = 5x + 2, which passes through the point (4, 9).
2.Write the equation y - 2 = 4(x + 5) in standard form.

Answer 1

y = 5x + 2....the slope in this equation is 5. A parallel line will have the same slope.
now we will use y = mx + b and solve for b
slope(m) = 5
(4,9) x = 4 and y = 9
now we sub
y = mx + b
9 = 5(4) + b
9 = 20 + b
9 - 20 = b
-11 = b
your parallel equation is : y = 5x - 11
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y - 2 = 4(x + 5)
y - 2 = 4x + 20
y = 4x + 20 + 2
y = 4x + 22 (subtract 4x)
-4x + y = 22 (multiply by -1 to make x positive)
4x - y = -22 <-- standard form