Questions: Graph the line with the given point and slope. The line through (2,-3) with slope 6/5. Use the graphing tool on the right to graph the line. Click to enlarge graph

Graph the line with the given point and slope. The line through (2,-3) with slope 6/5. Use the graphing tool on the right to graph the line. Click to enlarge graph

Transcript text: Graph the line with the given point and slope. The line through $(2,-3)$ with slope $\frac{6}{5}$ Use the graphing tool on the right to graph the line. Click to enlarge graph

Solution

Solution Steps

Step 1: Equation Formulation

Given a point $(2, -3)$ and slope $1.2$, use the point-slope form $y + 3 = 1.2(x - 2)$ to find the equation of the line.

Step 2: Simplification

Simplify to slope-intercept form: $y = 1.2x - 5.4$.

Step 3: Graphing

Plot the point $(2, -3)$ on the graph. Use the slope $1.2$ to find another point on the line. From $(2, -3)$, move vertically and horizontally according to the slope $1.2$ to find a second point, and draw a line through these points.