Also I need to Know what the equation of a line parallel to y=2/3x+7 with a y intercept of 5?

Answer 1

First line:
y = (2/3)x + 7

This is already in slope-intercept form (y = mx + b), so the slope of the first line is 2/3.

A parallel line will have the same slope.

So now you need to write the equation of a line with slope of 2/3 and a y-intercept of 5.

The answer is:
y = (2/3)x + 5

Answer 2

Linear equations like the one you've given are expressed as:

y = mx + b

where m is the "slope" of the line and b is the y-axis intercept.

All lines with the same slope are parallel - always. The only thing that differs, then, about parallel lines is where they intercept the y-axis. For example, if the first line is given by:

y = (1/4)x + 3

then the y-axis intercept is 3. If you change the intercept to a different value you get a parallel line that runs through that intercept. So in this case if we set b = -1, we would create a second line parallel to the first that crosses y = -1 on the y-axis. If you wanted a parllel line with a y intercept of 9, then the new equation would be y = (1/4)x +9.

Now you should know how to solve your question...

Answer 3

A line parallel to the one given should have the same slope. If the equation is in the form y = mx + b, then m is the slope, and b is the y intercept.

So now you want the equation of the line with slope = 2/3, and y intercept = 5...

i.e... y = 2/3x + 5.

Hope that helped! =)

Answer 4

Equation of a line in slope-intercept type is given via : y = mx + c, the place m = slope, and c = y-intercept a million) y = - 5x + 7 2) 6x - 8y + 24 = 0 whilst x = 0, 8y = 24, => y = 3 (y-intercept) whilst y = 0, 6x = - 24, => x = - 4 (x- intercept) 3) Andddd : The question is incomprehensible. Write the question properly. 4) finally : examine your textual content textile e book and locate out the respond via your self. do no longer be too lazy.

Answer 5

for parallel slopes, keep it the same and add your y-intercept. so it would be y=2/3x+5. also in the future, if you need the perpendicular slope, you flip the slope and add your y intercept. so that would be y=3/2x+(yintercept) [if i remember correctly]