orWatch a videoLine 𝓁 has the equation y=12x+1. Write the equation of the image of 𝓁 after a dilation with a scale factor of 5, centered at the origin.Write your answer in slope-intercept form.
Question
orWatch a videoLine 𝓁 has the equation y=12x+1. Write the equation of the image of 𝓁 after a dilation with a scale factor of 5, centered at the origin.Write your answer in slope-intercept form.
Solution
The equation of the line 𝓁 is given as y = 12x + 1.
A dilation centered at the origin multiplies all coordinates by the scale factor.
In the equation y = mx + b, m is the slope and b is the y-intercept.
When we dilate the line by a scale factor of 5, the slope (m) will be multiplied by 5.
So, the new slope will be 12 * 5 = 60.
The y-intercept (b) remains the same because the dilation is centered at the origin.
Therefore, the equation of the image of 𝓁 after a dilation with a scale factor of 5, centered at the origin, is y = 60x + 1.
Similar Questions
The equation of line r is y=32x+4. What is the slope of the image of r after a dilation with a scale factor of 12 centered at (0,1)?Write your answer as an integer or simplified fraction.
The equation of line t is y=12x+3. Line t' is the image of line t after a dilation with a scale factor of 3 centered at (–3,2).Which of these points lie on line t'? Select all that apply.
JK passes through the points J(–2,4) and K(1,10). J'K' is the image of JK after a dilation with a scale factor of 34 centered at (–4,0).What is the equation of J'K'?Write your answer in slope-intercept form.
The equation of line u is y=–4x–4. Line u' is the image of line u after a dilation with a scale factor of 14 centered at (5,–8).Which of these points lie on line u'? Select all that apply.(8,0)(1,4)(–2,4)(4,–8)Submit
Plot the image of point under a dilation about point with a scale factor of . Related content
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.