How to make an equation out of
0,5 and -3,-4 on a coordinate plane
assuming you want the equation for the line though the points (0,5) and (-3,-4), note that the slope of such a line is 3.
So, using the point-slope form of the line, you have
y-5 = 3(x-0)
or
y = 3x+5
Or, using the other point,
y+4 = 3(x+3)
y = 3x+5
Thank you but I don't get how to get that. What formula is there?
just google point-slope form. Lots of explanations out there.
I can't believe you are asking this question without having covered linear equations.
To make an equation out of the points (0,5) and (-3,-4) on a coordinate plane, you can use the slope-intercept form of an equation, which is y = mx + b, where m represents the slope of the line and b represents the y-intercept.
Step 1: Find the slope (m):
The slope (m) is the change in y divided by the change in x. We can use the coordinates of the two points to calculate the slope:
m = (y2 - y1) / (x2 - x1)
m = (-4 - 5) / (-3 - 0)
m = (-4 - 5) / (-3)
m = -9 / -3
m = 3
Step 2: Determine the y-intercept (b):
To find the y-intercept (b), you can substitute the coordinates of one of the points into the slope-intercept form and solve for b.
Using the point (0,5):
y = mx + b
5 = 3(0) + b
5 = b
Step 3: Write the equation:
Now that we have the slope (m = 3) and the y-intercept (b = 5), we can write the equation:
y = 3x + 5