What is the slope of a line that is parallel to the line whose equation is y = 45 x - 3?

Question:

What is the slope of a line that is parallel to the line whose equation is {eq}y = 45 x - 3 {/eq}?

Parallel Lines:

(i) To find the slope of a given line, we should convert it to the form {eq}y=mx+b {/eq}. Then {eq}m {/eq} would give the slope.

(ii) The slopes of two parallel lines are always the same.

Answer and Explanation:

The equation of the given line is: {eq}y=45x-3 {/eq}.

The slope of this line is found by comparing it with {eq}y=mx+b {/eq}. Then its slope is {eq}m=45 {/eq}.

The slopes of two parallel lines are always equal.

So the slope of the line which is parallel to the given line is: {eq}m= \boxed{\mathbf{45 }} {/eq}.


Learn more about this topic:

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Graphs of Parallel and Perpendicular Lines in Linear Equations

from Algebra I: High School

Chapter 12 / Lesson 7
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