Q: the slope intercept form of an equation for the line that passes through (-1,2) and Is parallel to y=2x-3
A. y=2x+4
B. y=0.5x+4
C. y=2x+3
D. y=-0.5x-4
can you show me how you got A?
(-1,2)
m = 2
y = mx +b
2 = (2)(-1) + b
2 = -2 + b
2 + 2 = -2 + 2 + b
4 = b
y = mx + b
y = 2x + 4
To find the equation of a line parallel to another line, we need to use the fact that parallel lines have the same slope.
Given that the line we want to find is parallel to the line y = 2x - 3, we know that the slope of the new line will also be 2.
Now let's use the slope-intercept form of a line, which is y = mx + b, where m is the slope and b is the y-intercept.
We are given that the line passes through the point (-1,2), which means we can substitute these coordinates into the equation to find the y-intercept.
Plug in the values (-1,2) into the equation:
2 = 2*(-1) + b
2 = -2 + b
To solve for b, we add 2 to both sides:
4 = b
So the y-intercept is 4.
Now we have the slope (m = 2) and the y-intercept (b = 4), which allows us to write the equation of the line in slope-intercept form:
y = 2x + 4.
Therefore, the correct answer is option A: y = 2x + 4.