4.1 and 4.2 Quiz Prep

Slope

100

Calculate the slope between the points (1, 2) and (3, 6)

m= (6-2) / (3-1) = 4/2  =2

200

Calculate the slope of the line passing through (0, -3) and (4, 1).

m = (1 - (-3))/(4-0) = 4/4 = 1

300

Determine the slope of the line that passes through the points (-2, -4) and (2, 2).

m = (2 -(-4))/(2-(-2)) = (2+4)/(2+2) =6/4 = 3/2

400

Find the slope between the points (-3, 5) and (3, -1).

m = (-1-5)/(3-(-3)) = (-1-5)/(3+3) = -6/6 = -1

500

Calculate the slope of the line passing through the points (-5, -7) and (-2, 5).

m = (5-(-7))/(-2-(-5)) = (5+7)/(-2+5) = 12/3 = 4

Slope Intercept

100

Write the equation of the line in slope-intercept form with slope m=3 and y-intercept b=−2. 

y = 3x - 2

200

Given the slope m=−1 and y-intercept b=4, write the equation in slope-intercept form.

y = -x + 4

300

Find the equation of the line in slope-intercept form that passes through (0, 6) and has a slope of −3.

y = -3x + 6

400

Write the equation in slope-intercept form of the line passing through (1, 2) with slope m= 1/2

y = 1/2 x + 3/2

500

Determine the equation in slope-intercept form of the line passing through (2, -1) and (4, 3).

First find the slope, then use the point (2, -1) to get y=2x - 5

m = (3-(-1))/(4-2) = (3+1)/(4-2) = 4/2 = 2

Point Slope

100

Write the equation of the line in point-slope form with a slope of 4 passing through the point (1, 2).

y - 2 = 4(x - 1)

200

Given a slope of −13-\frac{1}{3}−31 and a point (3, -2), write the equation in point-slope form.

y + 2 = -1/3(x - 3)

300

Write the equation in point-slope form for the line that passes through (0, -5) with slope of 6.

y + 5 = 6(x - 0) 

OR

y + 5 = 6x

400

Determine the equation in point-slope form for a line with slope of −2 passing through (-1, 4).

y - 4 = -2(x + 1)

500

Write the equation in point-slope form for the line passing through the points (2, 3) and (5, 6).

First calculate slope, then plug in to point-slope form equation.

y - 3 = 1(x - 2)