Question

Graph the line with slope -2 passing through the point (4,2)

Answer 1

STEP - BY - STEP EXPLANATION

What to find?

The line with slope -2 passing through the point (4,2).

Given:

slope(m) = -2

Point (4, 2)

We will solve using the steps below:

Step 1

Find the intercept using the formula below:

`y=mx+c`

where m is the slope and c is the intercept.

Step 2

Substitute the values into the formula.

m=-2 x=4 and y =2

`2=(-2)(4)+c`
`2=-8+c`
`2+8=c`
`10=c`

Hence, the y - intercept is (0, 10).

Step 3

Proceed the sketch the graph with points (4, 2) and (0, 10).

ANSWER

Below is the sketch of the graph.