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trazar la recta. $y=\\frac{3}{5}x - 1$

To graph \(y = \frac{3}{5}x-1\), plot \((0, - 1)\) (y - intercept) and \((5,2)\) (using slope \(\frac{3}{5}\)), then draw a line through these points.

Catégorie: geometry Mis à jour: 2026-02-07

Question

trazar la recta.
$y=\\frac{3}{5}x - 1$

Étapes de solution

  1. Understand the question

    trazar la recta.
    $y=\\frac{3}{5}x - 1$

  2. Explanation

    Step1: Identify the y-intercept

    The equation is in slope - intercept form \(y = mx + b\), where \(b\) is the y - intercept. For \(y=\frac{3}{5}x - 1\), \(b=- 1\). So the line crosses the y - axis at the point \((0,-1)\).

    Step2: Use the slope to find another point

    The slope \(m=\frac{3}{5}\), which means for a run of 5 (change in \(x\)), the rise is 3 (change in \(y\)). Starting from \((0,-1)\), if we move 5 units to the right (increase \(x\) by 5, so \(x = 0+5 = 5\)) and 3 units up (increase \(y\) by 3, so \(y=-1 + 3=2\)), we get the point \((5,2)\).

    Step3: Plot the points and draw the line

    Plot the points \((0,-1)\) and \((5,2)\) on the coordinate plane. Then, use a straight - edge to draw a line passing through these two points. This line represents the equation \(y=\frac{3}{5}x - 1\).

    (Note: Since the problem is about graphing, the main steps are identifying key points using the slope - intercept form and then plotting and drawing the line. If you were to describe the graph, the line has a positive slope, crosses the y - axis at \((0,-1)\) and passes through \((5,2)\) among other points.)

  3. Final answer

    To graph \(y = \frac{3}{5}x-1\), plot \((0, - 1)\) (y - intercept) and \((5,2)\) (using slope \(\frac{3}{5}\)), then draw a line through these points.

Réponse

Explanation

Step1: Identify the y-intercept

The equation is in slope - intercept form \(y = mx + b\), where \(b\) is the y - intercept. For \(y=\frac{3}{5}x - 1\), \(b=- 1\). So the line crosses the y - axis at the point \((0,-1)\).

Step2: Use the slope to find another point

The slope \(m=\frac{3}{5}\), which means for a run of 5 (change in \(x\)), the rise is 3 (change in \(y\)). Starting from \((0,-1)\), if we move 5 units to the right (increase \(x\) by 5, so \(x = 0+5 = 5\)) and 3 units up (increase \(y\) by 3, so \(y=-1 + 3=2\)), we get the point \((5,2)\).

Step3: Plot the points and draw the line

Plot the points \((0,-1)\) and \((5,2)\) on the coordinate plane. Then, use a straight - edge to draw a line passing through these two points. This line represents the equation \(y=\frac{3}{5}x - 1\).

(Note: Since the problem is about graphing, the main steps are identifying key points using the slope - intercept form and then plotting and drawing the line. If you were to describe the graph, the line has a positive slope, crosses the y - axis at \((0,-1)\) and passes through \((5,2)\) among other points.)

Answer

To graph \(y = \frac{3}{5}x-1\), plot \((0, - 1)\) (y - intercept) and \((5,2)\) (using slope \(\frac{3}{5}\)), then draw a line through these points.

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Question Analysis

Subject mathematics
Sub Subject geometry
Education Level high school
Difficulty unspecified
Question Type with image
Multi Question No
Question Count 1
Analysis Status completed
Analyzed At 2026-02-07T01:05:38

OCR Text

Show OCR extraction 
trazar la recta.
$y=\\frac{3}{5}x - 1$

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