Question

parallel lines in a coordinate plane will never
the ____________ of a line is calculated by dividing the change in the vertical distance by the change in the horizontal distance.
a line perpendicular to another line will have a slope that is the ____________ reciprocal of the other lines slope.
the y - ____________ is the point where a line crosses the y - axis.
the slope - intercept form of a linear equation is expressed as ____________.
a vertical line has an ____________ slope, which means you cannot define its slope through normal slope calculation methods.
in geometry, ____________ lines are lines in the same plane that do not intersect at any point.
the equation of a line in ____________ form can be used when you know a point on the line and the slope of the line.

Explanation:

1. Parallel lines in a coordinate - plane never intersect.
2. The slope of a line is calculated as the ratio of the vertical change to the horizontal change.
3. A line perpendicular to another has a slope that is the negative reciprocal of the other line's slope.
4. The y - intercept is the point where a line crosses the y - axis.
5. The slope - intercept form of a linear equation is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y - intercept.
6. A vertical line has an undefined slope because the horizontal change (\(\Delta x=0\)) in the slope formula \(\text{slope}=\frac{\Delta y}{\Delta x}\).
7. Parallel lines are lines in the same plane that do not intersect.
8. The point - slope form of a line \(y - y_1=m(x - x_1)\) can be used when you know a point \((x_1,y_1)\) on the line and the slope \(m\) of the line.

Answer:

1. intersect
2. slope
3. negative
4. intercept
5. \(y = mx + b\)
6. undefined
7. parallel
8. point - slope