Slope Intercept Equation with parallel

In summary, the slope intercept equation for a parallel line is y = mx + b, where m is the slope and b is the y-intercept. To determine if two lines are parallel, check if they have the same slope. Parallel lines can have different y-intercepts, as long as they have the same slope. The y-intercept in the slope intercept equation represents the starting point of the line and helps in graphing the line. To graph a parallel line, plot the y-intercept first and then use the slope to find additional points on the line. Connect these points to create a straight line that will be parallel to the original line.
  • #1
mhester88
3
0
I'm not understanding this question at all and am not sure how to even begin answering this. Any help would be appreciated.

Write the slope-intercept equation of the line that is parallel to -9x-7y=4 and has the same y-intercept as the graph of -5x+11y=-22.
 
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  • #2
start by converting both of the given equations to slope-intercept form (y = mx + b, correct?)

parallel lines have the same slope
 
  • #3
mhester88 said:
I'm not understanding this question at all and am not sure how to even begin answering this. Any help would be appreciated.

Write the slope-intercept equation of the line that is parallel to -9x-7y=4 and has the same y-intercept as the graph of -5x+11y=-22.
Since this was posted 6 months ago:
-9x- 7y= 4 is the same as 7y= -9x- 4 or y= (-9/7)x- 4/7. That has slope -9/7. Any line parallel to it has the same slope so can be written y= (-9/7)x+ c for some number c.

The y-intercept of a graph is the point (0, y) where the graph crosses the y-axis. Setting x= 0 in -5x+ 11y= -22, 11y= -22 so y= -2. The y-intercept is (0, -2). Setting x= 0 in y= (-9/7)x+ c, y= c and we want that to be -2.

y= (-9/7)x- 2. If, like me, you don't like fractions, multiply both sides by 7:
7y= -9x- 14.

You could also add 9x to both sides to get the slightly "prettier"
9x+ 7y= -14.
 

1. What is a slope intercept equation?

A slope intercept equation is a linear equation in the form of y = mx + b, where m represents the slope of the line and b represents the y-intercept, or the point where the line crosses the y-axis.

2. How do you find the slope of a line in a slope intercept equation?

The slope of a line in a slope intercept equation is represented by the coefficient of x, or m. To find the slope, you can use the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are any two points on the line.

3. What does it mean for two lines to be parallel?

Two lines are parallel if they have the same slope and will never intersect. In a slope intercept equation, parallel lines will have the same slope, but different y-intercepts.

4. How can you tell if two lines are parallel using their slope intercept equations?

If two lines have the same slope, then they are parallel. In a slope intercept equation, this means that the coefficient of x, or m, will be the same for both lines.

5. Can you graph parallel lines using their slope intercept equations?

Yes, you can graph parallel lines using their slope intercept equations. The slope will be the same for both lines, but the y-intercepts will be different. Plot the y-intercept for each line, and then use the slope to find other points on the line to create a straight line graph.

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