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3 years ago

Write the point slope form of the equation with the given characteristics:

Mathematics

1 answer:

KengaRu [80]3 years ago

3 0

Answer:

point-slope form: y - 0 = ½(x - 3)

Step-by-step explanation:

Given the slope, m = ½, and the x-intercept, (3, 0):

We can substitute these values into the point-slope form:

y - y1 = m(x - x1)

y - 0 = ½(x - 3) ← This is the point-slope form.

If ever you need to transform the point-slope form into its slope-intercept form, y = mx + b:

Distribute ½ into the parenthesis:

y - 0 = ½(x - 3)

y = ½x - 3/2 (this is the slope-intercept form).

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3 years ago

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$\bold{\huge{\red{\underline{ Solution}}}}$

$\bold{\underline{ We \: have\: given :-}}$

$\sf{ 2x + 7y = 3 ...eq(1 ) }$

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Here, we will use the substitution method for solving the above equations.

$\bold{\underline{Subsitute \: eq(1)\:in \: eq(2)}}$

$\sf{ 2(-4y) + 7y = 3 }$

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$\bold{\underline{Subsitute \: eq(3)\:in \: eq(2)}}$

$\sf{ x = -4(-3) }$

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$\sf{\blue{ Hence, \: The \:value \:of \:x \:and \:y \:is\: 12\: and \:-3}}$

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2 years ago

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