SOLUTION: Write the equation of the line using this information a ) slope=2, y-intercept 0 b) slope 6, passing through (-4,7) please help me with this equation Thanks

Question 69964: Write the equation of the line using this information
a ) slope=2, y-intercept 0
b) slope 6, passing through (-4,7)
please help me with this equation
Thanks
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Write the equation for a graph that has a slope = 2 and a y-intercept of 0
.....
The definition of the slope-intercept form of an equation is y = mx + b
in which
m is the slope and b is the y-intercept.
All you have to do now is substitute the given values of +2 for m and 0 for +b. This makes
the equation that you are looking for: y = +2x + 0 which reduces to just y = +2x
........
Write the equation for a graph that has a slope of 6 and passes through (-4,7).
You can again use the slope-intercept form:
y = mx + b
Substitute the given slope for m to get:
y = 6x + b
You also given that when x = -4 and y = +7 it satisfies the equation. Substituting
these two values into the equation result in:
7 = (6)*(-4) + b
After the multiplication you have:
7 = -24 + b
Solve this equation for b by adding 24 to both sides to get:
31 = 0 + b
which becomes just b = +31
Return to the equation y = 6x + b and substitute +31 for b. When you do the equation
that has a slope of 6 and goes through the point (-4,+7) becomes:
y = 6x + 31
Hope this gives you a little insight into graphing equations of the slope-intercept
form.

RELATED QUESTIONS
please help me with this problem: write the equation of a line passing through (0,-4)... (answered by solver91311)

Using the given information, write the equation of the lines in slope-intercept form:... (answered by Fombitz)

Write the equation of the line with a slope of -5 and a y-intercept of (0,3). Write... (answered by Alan3354)

write the slope-intercept form of the equation of the line passing through the points... (answered by stanbon)

Find the equation of the line with the following slope and y intercept. Write the final... (answered by josgarithmetic)

Directions: Write an equation for each line in point slope form and slope intercept form (answered by Fombitz)

COULD SOMEONE PLEASE HELP ME ASAP? Write the equation of the line passing through the... (answered by mananth,Dana Hamdan)

1. Write the equation of the line passing through the points (0, -4) and (-2, 2. Write... (answered by jim_thompson5910)

A line has vertical intercept 6 and slope -2. What is its horizontal intercept? Write (answered by josgarithmetic)