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How do you write an equation of the line that passes through the given point and has the given slope?

How do you write an equation of the line that passes through the given point and has the given slope?

the equation of a line in slope-intercept form is.

  1. ∙y=mx+b.
  2. here m=5.
  3. ⇒y=5x+b←is the partial equation.
  4. 9=5+b⇒b=9−5=4.
  5. ⇒y=5x+4←is the equation of the line.

What is the equation in slope-intercept form of the line that passes through 0?

For a line to pass through (0,0), the formula would need to output 0 if either x or y is entered as 0 as well. As such, there will not be a number following the slope in the “b” position, and the correct answer is y = -2/3x.

How do you write the equation of a line in slope intercept form?

The slope-intercept form is one way to write a linear equation (the equation of a line). The slope-intercept form is written as y = mx+b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis). It’s usually easy to graph a line using y=mx+b.

How do u write an equation in slope-intercept form?

How do u write an equation in point slope form?

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).

What does the equation y = mx + b mean?

In the equation ‘y = mx + b’, ‘b’ is the point, where the line intersects the ‘y axis’ and ‘m’ denotes the slope of the line. The slope or gradient of a line describes how steep a line is.

What is the slope of a linear equation?

The slope-intercept form of the equation of a line that passes through point (-3, 8) is y = -2/3x + 6. What is the point-slope form of the equation for this line? y-8=-2/3(x+3) The slope-intercept form of the equation of a line that passes through point (-2, -13) is y = 5x – 3.

How to find the equation of a line?

Find the equation of the line that has a slope of -8 and passes through the point (-1,-5) write the equation in standard form. Step 1. The slope-intercept form is given as y=mx+b where m is the slope and b is the y-intercept when x=0 or at point (0,b).

When to use y = mx + b-Cuemath?

y = mx + b is the slope-intercept form of a line. This formula is used to find the equation of a line when we know the slope and the y-intercept of the line. The equation of a line whose slope is m m and whose y-intercept is (0,b) ( 0, b) or b b is found using the slope-intercept form.