5 5 Writing Equations in Point Slope Form

5. 5 Writing Equations in Point. Slope Form What you’ll learn: 1. To write the equation of a line in point-slope form. 2. To write linear equations in different forms.

Point-Slope Form Another form of a linear equation is point-slope form. This is another way to write an equation when given a point and the slope or two points. Point-Slope Form: where is a point on the line and m is the slope. To change an equation from point-slope to slope -intercept form, just solve for y

Write the point-slope form of an equation for a line that passes through each point with the given slope. 1. (4, 7), m=3 3. (-6, 3), m=0 2. (-5, -2), m=-1 4. (0, -5), m=½

Standard Form Standard form of a linear equation is Ax+By=C. The following conditions must be met in order for it to be in standard form: ü A, B, and C can’t be a fraction or a decimal ü A must be positive ü x and y must be on one side with the number with no variable on the other

Write each equation in standard form. 1. y-3=2(x-3) y-3=2 x-6 -2 x+y=-3 2 x-y=3 2. y-1=-3(x-4) y-1=-3 x+12 3 x+y=13 3. y+3=-½(x+12) y+3=-½x-6 ½x+y=-9 x+2 y=-18 4. y-6=-5(x-4) y-6=-5 x+20 5 x+y=26

Write each equation in slope-intercept form. (Solve for y) 1. y-3=-2(x+4) y-3=-2 x-8 y=-2 x-5 2. y+4=1(x-5) y+4=x-5 y=x-9 3. y-5=½(x-8) y-5=½x-4 y=½x+1 4. y+2=0(x-6) y+2=0 y=-2

Classwork p. 289 16 -48 even