Choose the answer to complete each statement The slope of the line is
The y-intercept is at
The graph represents the function
(3, 4)
(0, -3)

The slope of the line is  7/3

The y-intercept is at -3

Explanation:

The equation of anyt line in slope intercept form is given by

y = mx + c

where m is slope of the line

and

c is y intercept( y intercept is point on y axis where the line crosses the y-axis)

Given points are

(3, 4)

(0, -3)

These points shall satisfy the equation y = mx + c

plugging in value of (x,y) from (0, -3) in y = mx + c, we have

-3 = m*0 + c

=> -3 = c

Thus, c is -3 which is y-intercept

using c = -3, now we have equation  y = mx -3

plugging in value of (x,y) from (3, 4) in y = mx - 3, we have

4 = m*3 - 3

=> 4 + 3 = 3m

=> 7 = 3m

=> 7/3 = m

Thus, m is 7/3 which is slope of given line.

Thus, equation of line is

y = (7/3) x - 3

The slope of the line is  7/3

The y-intercept is at -3