equation of the given line in standard form.
The line with m = -3/4 and b = -2
y=mx+b
y=-3/4 x -2
oops, standard form, then
4y=-3x-8
3x+4y=-8 checkthat.
To find the equation of a line in standard form (Ax + By = C), we need to know the slope (m) and the y-intercept (b).
Given that m = -3/4 and b = -2, we can substitute these values into the equation.
The slope-intercept form of a line is y = mx + b.
Substituting m = -3/4 and b = -2, we have y = (-3/4)x - 2.
To convert the equation to standard form, we multiply through by 4 to eliminate the fraction:
4y = -3x - 8.
Next, move the -3x term to the left side:
0 = -3x + 4y - 8.
Finally, we rearrange the equation to have the x and y terms on the left side with a constant term on the right side:
3x + 4y = 8.
Therefore, the equation of the given line in standard form is 3x + 4y = 8.