What is the equation for the line that passes through (0,-9) and has a slope equal to 5?

y=5x-9

Step-by-step explanation:

Equation of line in slope-intercept form is:

y=mx+c where m denotes slope of line and c denotes y-intercept.

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

Slope is defined as steepness of a line and also called gradient.It is denoted by m.

From question statement ,we observe that

slope=m= 5

y-intercept at (0,-9) which means c=-9.

Putting the value of slope and y-intercept in slope-intercept form,we get

y=(5)x+(-9)

y=5x-9 is equation of line that passes through (0,-9) and has a slope equal to 5.

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answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.