1.the slope of a line is -4, and the y-intercept is -3. what is the equation of the line written in slope-intercept form?
y = -4x - 3
y = -4x + 3
y = 4x - 3

2.the graph of a line passes through the two points (-2, 1) and (2, 1). what is the equation of the line written in general form?
y - 1 = 0
x - y + 1 = 0
x + y - 1= 0

3.the slope of a line is -1/3, and the y-intercept is 10/3. what is the equation of the line written in general form?
10x + 3y - 1 = 0
x + 3y + 10 = 0
x + 3y - 10 = 0

4.write the equation of the line that has an x-intercept of -3 and passes through the point (-3, 7).

x = -3
y = -3
y = 7

In y = mx + b form, the slope is in the m position and the y int is in the b position

1. slope of -4y int of -3
    y = -4x - 3 <==

2. (-2,1)(2,1)...u have the same y coordinates..this means u have a horizontal line with a slope of 0. 
     y = 1y - 1 = 0 <===

3. slope = -1/3 and y int = 10/3...
    y = -1/3x + 10/3add 1/3 to both sides
    1/3x + y = 10/3...multiply everything by 3
     x + 3y = 10
     x + 3y - 10 = 0 <==

4. (-3,7)...and if the x int is -3, then its points are (-3,y)...meaning u have points where the x coordinates are the same...meaning vertical lines...ur answer is x = -3

ANSWER TO QUESTION 1

The equation of a line in slope intercept form is given by the formula,


where

is the slope of the straight line and

is the y-value of the y-intercept.

It was given in the question that, the slope is -4.

Thus,



It was also given that the y-intercept is -3.

Thus,



Therefore the equation is



This gives us,



The correct answer is A

ANSWER TO QUESTION 2

We were given that the equation passes through the two points (-2,1) and (2,1).

We can see from the points that the y-values are constant. This means that the line is parallel to the x-axis

Therefore the equation is given by


where

is the constant y-value.

Thus, the equation is,



or we write in general form to get,



The correct answer is A.

We could have also decided to find the slope,



using any point, say


we plug into the point slope form formula to get,



This gives us


ANSWER TO QUESTION 3

The equation of a straight line in the slope intercept form is


where m is the slope and c is the y-intercept.

Thus,


and


We substitute in to the formula to obtain,



we multiply through by 3 to obtain,



We rewrite in general form by equating everything to zero.

Thus,



Or



The correct answer is option D.

ANSWER TO QUESTION 4

We want to write the equation of the line that has an x-intercept of -3 and passes through the point (-3, 7).

This implies that the line passes through the points,



We find the slope as follows,



This implies that,

The slope is undefined. This means the line is parallel to the y-axis.

The equation of a line that has an undefined slope or parallel to the y-axis is given by



where


Therefore the equation is


The correct answer is A.

or you could have also obtained the equation as follows using any of the points.



This implies that,





We divide through by 7 to get,


hence

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