The equation of the line that passes through (−5, −2) and is parallel to y=23x+1 is y = 23x + 113
The equation of the line passes through (-5, -2) and is parallel to y = 23x + 1.
Parallel line have the same slope.
Using slope intercept equation
y = mx + b
where
m = slope
b = y-intercept
Therefore,
slope of the equation y = 23x + 1 is 23 and the slope of the equation we are looking for is also 23.
Therefore,
let's find b
(-5, -2)
y = 23x + b
-2 = 23(-5) + b
-2 = -115 + b
b = 113
Therefore,
y = 23x + 113
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