Linear Models and point-slope form

What is the equation of point-slope form?

• y=mx+b

• m=y2-y1/x2-x1

• y-y1=m(x-x1)

• f(X)=mx+b

m=2 through (-1,-3)

• y-3=2(x-1)

• y+3=2(x+1)

• y-2=3(x+1)

• y+1=3(x-2)

How can we find the equation of a line using point-slope form?

• By using the y=mx+b method

• By multiplying the point on the line with the slope of the line

• By using the point on the line and the slope of the line. Then, you can use the formula y-y1=m(x-x1)

• By finding the x- and y- intercepts

m=-2 through (-5,-2)

• y-5=2(x+2)

• y+5=-2(x-2)

• y-2=2(x-5)

• y+2=-2(x+5)

What does the slope represent in linear models and point-slope form?

• It represents the rate of change or the steepness of the line.

• It represents rise/run

• It represents the y=mx+b equation

• It represents the x- and y- intercepts

Tags

CCSS.8.EE.B.5

m=2 through (3,4)

• y-2=3(x-4)

• y-4=2(x-3)

• y+3=4(x+3)

• y-4=2(x-3)

through (4,-6) and (-2,5)

• y-11/6=5(x-6)

• y-4=-2(x-5)

• y+6=-11/6(x-4)

• y-5=-6(x+4)

How do we graph a line using point-slope form?

• plot the given point on the coordinate plane. Then, use the slope to find additional points by moving horizontally and vertically from the initial point. Finally, connect the points to form a line.

• Randomly scatter the points on the coordinate plane

• Draw a straight line from left to right

• Draw a straight line from the top left corner to the bottom right corner

m=4 through (2,3)

• y-2=4(x-3)

• y-0.5=2(x+6)

• y-3=4(x-2)

• y+3=4(x+2)

explain how to write an equation in point-slope form using a given point and slope.

• Point-slope is not used to write equations; it’s actually used to calculate the area of a triangle.

• write the equation as y=mx+c, where c is a constant value.

• use the formula y=mx+b, where m is the slope and b is the y-intercept.

• use a given point (x1,y1) and the slope (m) of the line. The equation is y-y1=m(x-x1)