What is the equation of the line that is perpendicular to the line y=-4x+3 and passes through the point (4,-1)?

If a line is perpendicular to another line, then the product of the slopes of the two lines is -1.

Therefore, if m1 and m2 are the slopes of the two lines then m1.m2 = -1

Now the slope of line y = 4x+3 can be obtained by comparing the equation of the line with y = mx+c where m = slope of the line and c = y-intercept.

Therefore we can say that the slope of this line (i.e. m1) = 4.

Therefore, the slope of the line perpendicular to this line is (i.e. m2) = -1/4

Now the general equation of the 2nd line can be written as

y = (-1/4)x+c   1)

Since, point (-12,4) lies on this line we can substitute the value of y = -12 and x = 4 in the above equation to find the value of c.

Once we find the value of c, we can complete the equation for the line which is perpendicular to line y = 4x+3

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

1. sometimes

2. never true

3. sometimes

step-by-step explanation:

these are pretty self explanatory if you know what supp right and com angles are