Question

Find the equation of line passing through (1, 7) and having slope 2 units.

Answer 1

point (1,7)

slope (m) = 2

equation :

y=mx+b, where m is the slope, b is the intercept.

You are given that the slope is 2, therefore m=2

So you have:

y=2x+b;

You need to find b. You also know that the line passes through the point (1,7). It means that if you plug in 7 for y and 1 for x, you shall obtain correct equality.

That is,

7=2*(1)+b shall be correct. Or

7=2+b.

b= 5

So b= 5 Therefore, your line equation in the slope-intercept form looks as follows:

y=2x+5

Answer 2

Given,

The passing point is (1,7)

Slope 'm' = 2 units

To find,

Equation of the line passing through  (1, 7) and having slope 2 units.

Solution,

We can solve the question by using one point form of a line.

General formula of one point form is (y-y1) = m(x-x1)

                      x1 = 1

                      y1 = 7

                      m = 2 units

               (y-7) = 2(x-1)

                y-7  = 2x-2

                 y-2x = 5

Hence,  the equation of the line passing through (1, 7) and having slope of 2 units is  y-2x = 5.