SOLUTION: What is the slope-intercept form of the equations of the line through the given point with the given slope:
(-3,-1), slope=2
(-2,2), slope= - 7/2
Algebra.Com
Question 456052: What is the slope-intercept form of the equations of the line through the given point with the given slope:
(-3,-1), slope=2
(-2,2), slope= - 7/2
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
The slope-intercept form is: y = mx +b
m = 2 is given
So, an infinite number of lines are possible.
But the line you want goes through the point (-3,-1).
.
Slope = change in y ("rise") divided by the change in x ("run").
So, a slope of 2 means for every change of 1 in x, there is a change of 2 in y.
This means the line goes up steeply from left to right.
x = -3 +1 = -2
y = -1 +2 = +1
.
x = -3 +3 = 0
y = -1 +6 = 5
.
y = 2x + 5
.
You can check the graph:
.
Or you can test the values you were given:
y = 2x + 5
2(-3) +5 = -6 +6 = -1
That's (-3,-1).
.
Do the second problem the same way.
RELATED QUESTIONS
What is the slope intercept form of the line that passes through the given point with... (answered by checkley77)
Write the slope intercept form of the equation of the line through the given point with... (answered by rfer)
Write the slope intercept form of the equation of the line through the given point with... (answered by rfer)
Write the slope intercept form of the equation of the line through the given point with... (answered by drj)
Write the slope intercept form of the equation of the line through the given point with... (answered by drj)
write the slope intercept form of the equation of the line through the given point with... (answered by rfer)
Write the slope-intercept form of the equation of the line through the give point with... (answered by Alan3354)
Find the equation in slope intercept form of the line given slope that passes through the (answered by Stitch)
Find the equation (in slope-intercept form) of the line with the given slope that passes... (answered by rfer,Earlsdon)