Question

3. An equation that crosses the y-axis at -5 and crosses the x-axis at 24. An equation that crosses the y-axis at -5 and crosses the x-axis at -65. An equation that crosses the y-axis at -5 and crosses the point (2,3)

Answer 1

3.

We need to find the equation of the line which:

• crosses the y-axis at -5

,

• crosses the x-axis at 2

The y-axis cutting point is (0,-5)

The x-axis cutting point is (2,0)

The equation of line is:

`y=mx+b`

Where m is the slope and b is the y-axis cutting point

m is given by:

`m=(y_2-y_1)/(x_2-x_1)`

Where

y_2 = 0

y_1 = -5

x_2 = 2

x_1 = 0

So, slope is:

`m=(y_2-y_1)/(x_2-x_1)=(0--5)/(2-0)=(0+5)/(2)=(5)/(2)`

We got m, we also know b.

The y cutting point is -5, so b = -5

The equation is:

`y=(5)/(2)x-5`

The graph would look like:

More clear version: