Slope Intercept Form
For y= -3/2x + 7, identify the slope and y-intercept.
slope -3/2
y int 7
Write an equation in point-slope form for a line with slope (3) passing through (-2,5).
y-5=3(x+2)
Rewrite y=4x-9 in standard form.
4x-y=9
Find both the x-intercept and y-intercept of y=-2x+8.
x-intercept:(4,0); y-intercept: (0,8)
A rental company charges a $35 starting fee plus $18 per hour. Write an equation for the total cost (y) after (x) hours.
A: y=18x+35
Write an equation in slope-intercept form for a line with slope -4 that passes through (2,3).
y=-4x+11
The equation y+4=-2/3(x-6) is written in point-slope form. Identify the slope and the point used.
Slope: -2/3 ; point:(6,-4)
Rewrite y=2/3x-5 in standard form with whole numbers as your final answer.
2x-3y=15
Find both intercepts of 3x+2y=12.
x-intercept: (4,0); y-intercept: (0,6)
A phone repair company charges according to the points (2,95) and (5,170), where (x) is hours of labor and (y) is total cost. Find the hourly rate.
$25 per hour
Write the equation in slope-intercept form for the line passing through (-2,9) and (4,-3).
A: y=-2x+5
Q: Write a point-slope equation for the line passing through (2,-1) and (6,7).
y+1=2(x-2)
A line has an x-intercept of (5,0) and a y-intercept of (0,10). Write the equation in standard form.
A: (2x+y=10)
A line crosses the x-axis at (-3,0) and the y-axis at (0,6). Determine its slope and equation.
Slope =2; y=2x+6
A party venue costs $240 for 4 hours and $390 for 7 hours. Find the hourly rate and the initial fee.
Hourly rate: $50; initial fee: $40
Rewrite 6x+3y=15 in slope-intercept form. Then identify the slope and y-intercept.
y=-2x+5; slope -2; y-intercept (0,5)
The line y=-3x+10 passes through (4,-2). Rewrite the equation in point-slope form using the point (4,-2).
y+2=-3(x-4)
Write the equation in standard form for a line with slope -3/4 that passes through (4,5).
A: (3x+4y=32)
A line has a y-intercept of (0,-4) and an x-intercept of (8,0). Write the equation in slope-intercept form and standard form.
Slope-intercept: y=1/2x-4
Standard: 1x-2y=8
A moving company charges $185 for 3 hours and $305 for 7 hours. Write an equation relating total cost (y) to hours (x), then determine the cost for 10 hours.
Slope (30)
Equation: y=30x+95
10 hours: $395
A line has an x-intercept of (6,0) and passes through (2,8). Write its equation in slope-intercept form.
y=-2x+12
Write the equation in point-slope form for the line passing through (-3,8) and (5,-4).
y-8=-3/2(x+3)
Write the equation in standard form for the line passing through (-2,-1) and (4,8).
3x-2y=-4
The line 4x-5y=20 is graphed. Without graphing it, determine the x-intercept, y-intercept, and slope.
x-intercept: (5,0); y-intercept: (0,-4); slope:4/5
Q: Two customers rent the same type of equipment. One pays $164 for 4 hours, while another pays $290 for 10 hours.
Find: