Questions: Graph the line with slope 3 passing through the point (-3,-5).
Transcript text: Graph the line with slope 3 passing through the point $(-3,-5)$.
Solution
Solution Steps
Step 1: Given a point and slope
Given a point (x1,y1)=(−3,−5) and a slope m=3.
Step 2: Use the point-slope form to find the y-intercept
The point-slope form of a line equation is y−y1=m(x−x1).
Substituting the given values, we get y+5=3(x+3).
Rearranging to slope-intercept form y=mx+b, we find the y-intercept b.
b=y1−m⋅x1=−5−3⋅−3=4.
Step 3: Graphing the line
With the slope m=3 and the y-intercept b=4, the equation of the line is y=3x+4.
To graph the line, plot the y-intercept on the y-axis. Then, use the slope to find another point on the line.
Draw a straight line through these points to complete the graph.