Question

Write the equation of a line perpendicular to the line y = 2x - 3 that goes through point (4,3). Convert the line to Slope-Intercept Form.

Answer 1

Answer:

y=-1/2x+5

Step-by-step explanation:

a line perpendicular to a given line will have a slope that is the negative reciprocal of the given one. this means the slope of the line perpendicular to the given one would be -1/2.

How I got this: 2 as a fraction would be 2/1, so the reciprocal would be 1/2, but we want the NEGATIVE reciprocal, so we multiply the fraction by -1, which gets us -1/2.

Now we know the slope of the equation that passes through (4,3) which is perpendicular to the given line.

y=-1/2x+b

b is the y-intercept, so we use the point (4,3) and the slope we were given to find out b.

when the point's x value is 0, the y value is the y intercept.