Question

Which of the following represents an equation of a line with a slope of 5 and a y-intercept of 1?

Answer 1

y = 5x+1

Explanation:

y = mx+c is slope-intercept form for equation of line where m denotes slope of line and c denotes y-intercept.

Slope is defined as steepness of a line and it is denoted by m.

y-intercept is a point where the value of x on the graph is zero.

From question statement , we observe that

slope and y-intercept is given.

slope = m = 5 and y-intercept = c = 1

putting above values in slope-intercept form, we get

y = 5x+1 which is equation of line with slope equals to 5 and y-intercept equals to 1.

Answer 2

Answer:
`y=5x+1`

Explanation:

1. By definition, the equation of the line has the following form:

`y=mx+b`

Where m is the slope and b is the y-intercept.

2. The problem gives the slope and the y-interecept of the line, they are:

`m=5\\b=1`

3. Then, you must substitute the value of the slope and the y-intercept into the equation of the line and you obtain that the equation of that line is:

`y=5x+1`