Answer:
y = 3x + 3
Step-by-step explanation:
y = mx + b where m= slope and b= y-intercept
the y-intercept is the point where x=0 or where the line crosses the y-axis.
This happens at (0,3) on the graph, so the y-intercept, or b, is equal to 3.
for m, slope can be defined as rise/run. So starting from a point you are given on the graph (-1,-2), count the number of spaces up you rise and how many you must go over (run) to get to the next point (0,3)
if you count, you should rise from (-1,-2) 5 spaces and move to the right (run) 1 space to get to (0,3).
rise/run = 3/1
3/1 = 3
the slope is 3.
now that you have the slope and the y-intercept, you can just plug it into the equation
y = 3x + 3
Answer:
B
Step-by-step explanation:
At the numerator we have to put 8, while at the denominator we have to put 26
8/26
now we can simplify the fraction by dividing both numerator and denominator by 2
(8:2)/(26:2)
4/13
Your answer would be -20 ft per sec/5 = -4 ft/sec
................................ 30°
Answer;
The equation of the line is
3y = 4x + 4
Explanation;
Mathematically we can write the equation of a straight line in the form
y = mx + c
where m is the slope
Since the old line would parallel to the new line, then they have the same slope
This means that the slope of the new line will be 4/3
Now, we had yet slope and a point, we need to write the equation of the line
mathematically;
y- y1 = m(x - x1)
In this case m = 4/3, (x1,y1) = (5,-8)
Thus;
y+ 8 = 4/3(x-5)
y+ 8 = 4/3x -20/3
y = 4/3x -20/3 + 8
Multiply through by 3
3y = 4x -20 + 24
3y = 4x + 4