Just makin sure if I did this right on my hw. So it says write an equation in slope intercept form that is parallel to y=3x-7 and passes through (0,4)
I got y=3x+4 is that correct?
correct
To check if your answer is correct, let's first understand the problem.
The question asks us to find an equation in slope-intercept form that is parallel to the given equation y = 3x - 7 and passes through the point (0, 4).
To solve this problem, we need to remember two key points:
1. Parallel lines have the same slope.
2. The slope-intercept form of an equation is y = mx + b, where m represents the slope and b represents the y-intercept.
Now let's find the slope of the given equation y = 3x - 7. We can see that the slope is 3.
Since the line we are looking for is parallel to the given line, it will have the same slope of 3.
Now, we have the slope (m = 3) and a point that the line passes through (0, 4). We can use this information to find the y-intercept (b).
Using the slope-intercept form, we substitute the values of m, x, y, and solve for b:
4 = 3(0) + b
4 = b
So the y-intercept, b, is equal to 4.
Now we can write the equation in slope-intercept form using the values of m and b:
y = 3x + 4
Therefore, your answer, y = 3x + 4, is correct. Well done!