Math

1. Use point-slope form to write the equation of a line that has a slope of 2/3 and passes through (-3, -1). Write your final equation in slope-intercept form.

2. Write the equation in standard form using integers (no fractions or decimals): 𝑦 = −2/3𝑥 − 1

3. Write an equation of the line that passes through (2, -1) and is parallel to the graph of y = 5x – 2. Write your final equation in slope-intercept form.

4. Write an equation of the line that passes through(3, 5) and is perpendicular to the graph of y = –3x +7. Write your final equation in slope-intercept form.

5. Sketch a graph y = |x – 3| – 2 and describe the translations.

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  1. I am not going to do all your work for you.
    I will start number 4
    ====================
    4. Write an equation of the line that passes through(3, 5) and is perpendicular to the graph of y = –3x +7. Write your final equation in slope-intercept form.
    =============================
    what is the slope of a line perpendicular to y = -3x + 7 ????
    well m = -3
    the slope of a perpendicular = -1/m = -(1/-3)= 1/3
    so we have
    y = (1/3) x + b
    what is b ????
    well we havea point (3,5)
    so
    5 =(1/3)(3) + b
    5 = 1 + b
    b= 4
    so in the end
    y = (1/3) x + 4

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    Damon

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