Answer:
Step 1. The slope-intercept form is given as y=mx+b where m is the slope and b is the y-intercept when x=0 or at point (0,b).
Step 2. Now we have to find the line with slope m=-1 going through point (3,-1).
Step 3. Given two points (x1,y1) and (x2,y2), then the slope m is given as
Step 4. Let (x1,y1)=(3,-1) or x1=3 and y1=-1. Let other point be (x2,y2)=(x,y) or x2=x and y2=y.
Step 5. Now we're given . Substituting above values and variables in the slope equation m yields the following steps:
Step 6. Multiply x-3 to both sides to get rid of denominator on right side of equation.
Step 7. Add -1 to both sides of the equation
Step 7. ANSWER: The equation in slope-intercept form is where the slope m=-1 and the y-intercept b=2.
Note: the above equation can be rewritten in standard form as
And the graph is shown below which is consistent with the above steps.
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. 2/1 = 2.
Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 2/1 = 2.
Slope is -1/1 = -1.
Equation in slope-intercept form: y=-1*x+2.
Step-by-step explanation:
