Answer
a. point-slope form
b. point-intercept form
c. point-slope form
d. standard form
Work Step by Step
The point-slope form makes use of the slope and a point on the line. The point-slope form is given by the formula:
$y - y_1 = m(x - x_1)$, where $m$ is the slope and $(x_1, y_1)$ is a point on the line.
The slope-intercept form contains both the slope and the y-intercept and is given by the formula:
$y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.
The standard form is given by the formula:
$Ax + By = C$
a. This equation is in point-slope form, where the slope is $-1$ and the point is $(2, -5)$.
b. This equation is in point-intercept form, where the slope is $-2$ and the y-intercept is $5$.
c. This equation is in point-slope form, where the slope is $-2$ and the point is $(1, 10)$.
d. This equation is in standard form.
