Question

Write in point-siope form, siope-intercept form, and standard form an equation that passes

through( - 1, 2) with slope 4.

Answer 1

To write an equation in point-slope form, use the formula y - y1 = m(x - x1), substituting the given point and slope values. To write an equation in standard form, we rearrange the equation to have the x and y terms on the same side:

-4x + y = 6

Step-by-step explanation:

To write an equation in point-slope form, we can use the formula:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line and m is the slope.

Given the point (-1, 2) and a slope of 4, we substitute these values into the formula:

y - 2 = 4(x - (-1))

y - 2 = 4(x + 1)

To write an equation in slope-intercept form, we rearrange the equation to solve for y:

y = 4x + 6

To write an equation in standard form, we rearrange the equation to have the x and y terms on the same side:

-4x + y = 6

Answer 2

The forms are:

• y - y1 = m(x - x1)
• y = mx + b
• ax + by = c

Given:

• m = 4
• Point (-1, 2)

Use point slope form:

• y - 2 = 4(x - (-1))
• y - 2 = 4(x + 1)

Convert it to slope-intercept form:

• y = 4x + 4 + 2
• y = 4x + 6

Convert it to standard form:

• 4x - y = - 6