1. use point slope form to write the equation of a line that has a slope of 2/3 and passes through[-3,-1] write your final equation in slope intercept form.

2. write an equation in standard form using integers (no fractions or decimals): y=-2/3x -1

3. write an equation of the line that passes through (2, -1) and is parallel to the graph of y = 5x – 2. write your final equation in slope-intercept form

4.write an equation of the line that passes through (3, 5) and is perpendicular to the graph of y = –3x +7. write your final equation in slope-intercept form.

5.sketch a graph y = |x – 3| – 2 and describe the translations.

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step-by-step explanation:

a. is correct

their is no graph showing

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).