For questions 19-22, write a linear equation with the given information. 19. Passing through (2, 3) and PARALLEL to y = x - 4
19.
20.
20. Passing through (-6, -1) and PARALLEL 2x + 3y = 3
21.
22
21. Passing through (-2, 8) and PERPENDICULAR to y = 2x + 5
22. Passing through (-2, -11) and PERPENDICULAR to x + 4y = 8
Gina Wilson (Al Things Algebra, LLC), 2012-2017

Step-by-step explanation:

19. Passing through (2, 3) and PARALLEL to y = x - 4

Parallel lines have equal slopes:

Use given point to find b:

The line is:

20. Passing through (-6, -1) and PARALLEL 2x + 3y = 3

Rewrite in the slope-intercept form:

The line have same slope:

The line is:

21. Passing through (-2, 8) and PERPENDICULAR to y = 2x + 5

Perpendicular lines have negative-reciprocal slopes

The line has the form:

Find the y-intercept:

The line is:

22. Passing through (-2, -11) and PERPENDICULAR to x + 4y = 8

Perpendicular lines have negative-reciprocal slopes

Rewrite in slope-intercept form:

The line has the form:

Find y-intercept:

The line is:

60°

step-by-step explanation:

the measure angle of c in an isosceles triangle abc is 60° because in isosceles triangle,the measures of all the angles is 60°.

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!