Answer:
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
