Answer:
y = 2x - 5
Step-by-step explanation:
We are given that a line has the point (4, 3) and is parallel to the line y=2x.
We want to write the equation of this line in slope-intercept form.
Slope-intercept form is given as y=mx+b, where m is the slope, and b is the value of y at the y intercept, hence the name.
Parallel lines have the same slopes.
We can examine y = 2x to find the slope of it, as it is written in slope-intercept form.
2 is in the place of where m (slope) is, so that means 2 is the slope of that line.
It is also the slope of the line whose equation we want to find.
We can plug in 2 for m in y=mx+b.
y = 2x + b
We now need to find b.
As the equation passes through the point (4, 3), we can use its values to help solve for b.
Substitute 4 as x and 3 as y.
3 = 2(4) + b
Multiply.
3 = 8 + b
Subtract 8 from both sides.
-5 = b
Substitute -5 as b in y=2x + b
y = 2x - 5
Topics: finding the equation of the line, parallel and perpendicular lines
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