SOLUTION: A line goes through the point (4,3) and has a slope of -3/2. Graph this line.

Question 351106: A line goes through the point (4,3) and has a slope of -3/2. Graph this line.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
A line goes through the point (4,3) and has a slope of -3/2. Graph this line.
.
The equation can be found by plugging the given info into the "point-slope" form:
y - y1 = m(x - x1)
y - 3 = (-3/2)(x - 4)
y - 3 = (-3/2)x + 6
y = (-3/2)x + 9
.

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc

Equation describes a sloping line. For any
equation ax+by+c = 0, slope is .

X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 9/1.5 = 6.
Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 9/1 = 9.
Slope is -1.5/1 = -1.5.
Equation in slope-intercept form: y=-1.5*x+9.

RELATED QUESTIONS
A line goes through the point (4,-3) and has a slope of -3/2. Graph this... (answered by nerdybill)

A line goes through the point (3,4) and has slope 3/5, Graph this line. Can someone... (answered by rapaljer)

The graph of a line goes through (0,-2) and has slope 1/3. What point is also on the... (answered by Fombitz,solver91311)

graph a line that goes through the point (4,4) and has a slope of -1/2 (answered by checkley71)

Graph a line that goes through the point (4,3) and has a slope of... (answered by checkley77)

A line goes through the point (3,-5) and has slope -3/2. graph this line. but can someone (answered by scott8148)

Draw a line with a slope of 0 and goes through the point (-4,... (answered by MathLover1)

A line passes through the point (-2,-3) and has a slope of -4. Write an equation for this (answered by Fombitz)

find the equation of the line that goes through the point (3,2) and has a slope of... (answered by josgarithmetic)