Respuesta :

Answer:   [tex]y=5x+1[/tex]

Step-by-step explanation:

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

[tex]y=mx+b[/tex]

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:

[tex]m=5\\b=1[/tex]

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:

[tex]y=5x+1[/tex]

Answer:

y = 5x+1

Step-by-step 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.


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