Slope-intercept and point-slope equations
Point-slope equation y=-3.5 +2(x+4.5). Name the point used to write this equation.
(-4.5, -3.5)
y= -3.47(x-7)-2..name the slope and one point on the line that each point-slope equation represents.
-3.47; (7,-2)
A line passes through the points (-2,-1) and (5, 13). Find the slope of this line.
2
y=3 + 4(x-5)..name the slope and one point on the line that each point-slope equation represents.
4; (5, 3)
Point-slope equation y=-3.5 +2(x+4.5). Explain how you can verify that all four equations are equivalent.
Possible methods are graphing, using a calculator table and putting all equations in intercept form.
Point-slope equation y=-3.5 +2(x+4.5). A point on the line has a y coordinate of 16.5. Find the x-coordinate of this point and use this point to write an equivalent equation in point-slope form.
The x-coordinate is 5.5; y=16.5 + 2(x - 5.5)
The slope and the line between (2,10) and x2, 4) is -3. Find the value of x2
x2=4
Point-slope equation y=-3.5 +2(x+4.5). Factor your answer to 5b and name the x-intercept.
y=2(x + 2.75); the x-intercept is -2.75
Point-slope equation y=-3.5 +2(x+4.5). Write an equivalent equation in intercept form.
y=2x+ 5.5