Find the equation of the straight line which passes through the point (-1,3) and make intercept on x - axis as thrice that on y - axis .​

Step-by-step explanation:

Given

Required

Determine the equation

First, we calculate the intercepts using:

Where

b = Intercept on y axis.

a = Intercept on x axis.

From the question:

The equation becomes:

Multiply through by 3b

We have:

So:

Make b the subject

Substitute in to get the equation

Make 3y the subject

Make y the subject

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.