determine the equation of the line that has a slope of -1 and passes through (3,4)
m=slope
Line passes through (x0,y0)
y=m(x-x0)+y0
Write an equation of the line that passes through the piont (-2,1) with slope -2
To determine the equation of a line, you need two pieces of information: the slope of the line and a point that it passes through.
In this case, you have the slope (-1) and the point (3,4) that the line passes through.
The equation of a line can be represented in the "point-slope" form: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
So, let's substitute the given information into the point-slope form:
y - 4 = -1(x - 3)
Now let's simplify this equation. Distribute -1 to the terms inside the parentheses:
y - 4 = -x + 3
To put this equation in the standard form, rearrange the terms:
x + y = 7
Therefore, the equation of the line with a slope of -1 and passing through (3,4) is x + y = 7.