Forms of Linear Equations
What is the slope-intercept form?
y=mx + b
What is the distance formula?
...
What is the definition of slope?
rise over run, the grade of a line
What is the standard form of an equation for a circle?
(x -h)2 + (y- k)2 = r2
Do we write inequalities in slope-intercept form?
yes
What is the slope equation?
y2-y1/x2-x1
What is the midpoint formula
...
find the slope of the line containing the points (-2,5) and (-3, -7)
12
How do we label the center of a circle?
(h, k)
When solving an inequality, what must we do when we divide or multiply by a negative number?
flip the inequality sign
What is the slope in the equation 4y-12=8x
2
Find the distance between (2, -6) and (3, -7)
sq.rt. of 2
what is the slope of the line containing points (3,6) and (7, -10)
-4
What two pieces of information do we need to write the equation of a circle?
A point on the rim, the center
When graphing an inequality, what helps you decide where to shade?
the inequality sign
What is the point-slope equation?
y-y1 = m (x - x1)
find the midpoint of (-4, -3) and (4, -9)
10
What is the slope of the line with the equation 2x +y -2 = 2 (3 +x)
no slope
Write the standard form of an equation for a circle with a center at (-4, -3) and a radius of 5
25
What determines whether a line is dotted or solid?
> or < get a dotted line, inequalities that contain equals get a solid line
Find the equation of the line that passes through (4, -1) with a slope of 1 in slope-intercept form
y=x - 5
find the perimeter of a triangle with vertices at the points, (8, -3) (2, -3) and (2,5)
24
Determine the slope of 15y-5x = 0
1/3
Write the standard form of an equation for a circle with a diameter whose endpoints are at (0,6) and (8,0)
25
What type of inequality is joined by "and" or "or"
a compound inequality