Math

QuestionGraph the line with slope 2/52/5 and yy-intercept -5.

Studdy Solution

STEP 1

Assumptions1. The slope of the line is 5\frac{}{5} . The y-intercept of the line is -53. The line is a straight line in a-dimensional Cartesian coordinate system

STEP 2

The equation of a line in slope-intercept form is given by y=mx+by = mx + b, where mm is the slope and bb is the y-intercept.

STEP 3

Substitute the given slope and y-intercept into the equation of the line.
y=25x5y = \frac{2}{5}x -5

STEP 4

To graph the line, first plot the y-intercept on the y-axis. The y-intercept is the point where the line crosses the y-axis, which is at y=y = -.

STEP 5

From the y-intercept, use the slope to find another point on the line. The slope is the rise over the run, which means we go up2 units (rise) and right5 units (run) from the y-intercept.

STEP 6

Plot the second point on the graph.

STEP 7

Draw a straight line through the two points. This is the graph of the line y=25x5y = \frac{2}{5}x -5.

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